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<meta name="author" content="Manas Geeta Arun" />

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<title>Price robertson covariance and sex-specific traits</title>

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) 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<h1 class="title toc-ignore">Price robertson covariance and sex-specific
traits</h1>
<h4 class="author">Manas Geeta Arun</h4>
<h4 class="date">2024-01-17</h4>

</div>


<div id="load-packages" class="section level2">
<h2>Load packages</h2>
<pre class="r"><code>library(standardize)
library(MCMCglmm)
library(ggplot2)
library(cowplot)
library(lmerTest)
library(latex2exp)

diagnostics = TRUE # Should autocorrelation and time series plots for MCMCglmm models be printed?

# Load data

d = read.csv(&quot;Comprehensive_traits.csv&quot;, header = T)</code></pre>
<p>We investigate sex and sex ratio specific selection operating on a
large number of traits measured in a laboratory population of Drosophila
melanogaster. First, we ask if experimentally modulating the adult sex
ratio affects male and female additive genetic variances for relative
fitness (Vw) as well as the intersexual additive genetic covariance for
relative fitness (COVmfw). If selection gets stronger with increasing
male bias in sex ratios, we should observe a corresponding increase in
Vw as we move from female biased to equal to male biased sex ratio.
Additionally comparing COVmfw to Vw in males and females also allows us
to compare the relative magnitude of effects of selection operating
through the opposite sex relative to the magnitude of the within-sex
effects of selection.</p>
</div>
<div id="fitness-analyses-figure-1-table-s2" class="section level1">
<h1>Fitness analyses (Figure 1, Table S2)</h1>
<pre class="r"><code>set.seed(1234)

d_fit = d[d$Trait==&quot;Fitness_Female_Female_biased&quot;|d$Trait==&quot;Fitness_Female_Equal&quot;|d$Trait==&quot;Fitness_Female_Male_biased&quot;|d$Trait==&quot;Fitness_Male_Female_biased&quot;|d$Trait==&quot;Fitness_Male_Equal&quot;|d$Trait==&quot;Fitness_Male_Male_biased&quot;,]

# Add columns for sex and sex ratio

d_fit$Sex = ifelse(grepl(&quot;Fitness_Female&quot;, d_fit$Trait), &quot;Female&quot;, &quot;Male&quot;)
d_fit$Sex.Ratio = ifelse(grepl(&quot;Equal&quot;, d_fit$Trait), &quot;Equal&quot;, ifelse(grepl(&quot;Female_biased&quot;, d_fit$Trait), &quot;Female_biased&quot;, &quot;Male_biased&quot;))

d_fit$Treatment = paste(d_fit$Sex, d_fit$Sex.Ratio)
d_fit$RelFitness = d_fit$Measurement/ave(d_fit$Measurement, d_fit$Treatment)

d_fit$Sex.Ratio = as.factor(d_fit$Sex.Ratio)
d_fit$Family = as.character(d_fit$Family)
d_fit$Family = as.factor(d_fit$Family)
d_fit$Replicate = as.factor(d_fit$Replicate)


# Fit the model

prior_nd_1 = list(R = list(V = diag(6), nu = 0.002), G = list(G1 = list(V = diag(2), nu = 2, alpha.mu = c(0,0), alpha.V = diag(2)*1000), G2 = list(V = diag(2), nu = 2, alpha.mu = c(0,0), alpha.V = diag(2)*1000), G3 = list(V = diag(2), nu = 2, alpha.mu = c(0,0), alpha.V = diag(2)*1000), G4 = list(V = 1, nu = 0.002)))

fit_nd_1 &lt;- MCMCglmm(RelFitness ~ Sex + Sex.Ratio + Sex:Sex.Ratio - 1, random = ~ us(Sex:at.level(Sex.Ratio, &quot;Equal&quot;)):Family + us(Sex:at.level(Sex.Ratio, &quot;Male_biased&quot;)):Family + us(Sex:at.level(Sex.Ratio, &quot;Female_biased&quot;)):Family + Replicate:Family, rcov = ~idh(Sex:Sex.Ratio):units,family = &quot;gaussian&quot;, nitt = 100000, burnin = 25000, thin=50, data = d_fit, prior = prior_nd_1, pr=T, verbose = F)



### Additive genetic variance

# Female

va_fem_e = mean(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;):SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
va_fem_m = mean(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
va_fem_f = mean(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])

va_fem_e_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;):SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
va_fem_m_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
va_fem_f_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])



# Male

va_male_e = mean(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Equal&quot;):SexMale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
va_male_m = mean(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
va_male_f = mean(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])

va_male_e_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Equal&quot;):SexMale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
va_male_m_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
va_male_f_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])


### Additive genetic covariance between males and females

cov_mf_e = mean(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;):SexMale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
cov_mf_m = mean(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
cov_mf_f = mean(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])


cov_mf_e_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;):SexMale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
cov_mf_m_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
cov_mf_f_ci = HPDinterval(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])


### Variance associated with day:family

day_family = mean(fit_nd_1$VCV[,&quot;Replicate:Family&quot;])
day_family_ci = HPDinterval(fit_nd_1$VCV[,&quot;Replicate:Family&quot;])

### Residual variances

# Female

vr_fem_e = mean(fit_nd_1$VCV[,&#39;SexFemale:Sex.RatioEqual.units&#39;])
vr_fem_f = mean(fit_nd_1$VCV[,&#39;SexFemale:Sex.RatioFemale_biased.units&#39;])
vr_fem_m = mean(fit_nd_1$VCV[,&#39;SexFemale:Sex.RatioMale_biased.units&#39;])

vr_fem_e_ci = HPDinterval(fit_nd_1$VCV[,&#39;SexFemale:Sex.RatioEqual.units&#39;])
vr_fem_f_ci = HPDinterval(fit_nd_1$VCV[,&#39;SexFemale:Sex.RatioFemale_biased.units&#39;])
vr_fem_m_ci = HPDinterval(fit_nd_1$VCV[,&#39;SexFemale:Sex.RatioMale_biased.units&#39;])



# Male

vr_male_e = mean(fit_nd_1$VCV[,&#39;SexMale:Sex.RatioEqual.units&#39;])
vr_male_f = mean(fit_nd_1$VCV[,&#39;SexMale:Sex.RatioFemale_biased.units&#39;])
vr_male_m = mean(fit_nd_1$VCV[,&#39;SexMale:Sex.RatioMale_biased.units&#39;])

vr_male_e_ci = HPDinterval(fit_nd_1$VCV[,&#39;SexMale:Sex.RatioEqual.units&#39;])
vr_male_f_ci = HPDinterval(fit_nd_1$VCV[,&#39;SexMale:Sex.RatioFemale_biased.units&#39;])
vr_male_m_ci = HPDinterval(fit_nd_1$VCV[,&#39;SexMale:Sex.RatioMale_biased.units&#39;])




### Test for differences between male biased and female biased sex ratios for intersexual additive genetic covariance

mean(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;] - 2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])</code></pre>
<pre><code>## [1] 0.06520331</code></pre>
<pre class="r"><code>HPDinterval(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;] - 2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])</code></pre>
<pre><code>##            lower     upper
## var1 -0.01807514 0.1662771
## attr(,&quot;Probability&quot;)
## [1] 0.95</code></pre>
<pre class="r"><code>### Test for differences between male biased and female biased sex ratios for Vw female

mean(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;] - 2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])</code></pre>
<pre><code>## [1] 0.05681713</code></pre>
<pre class="r"><code>HPDinterval(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;] - 2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])</code></pre>
<pre><code>##             lower     upper
## var1 -0.006188529 0.1161605
## attr(,&quot;Probability&quot;)
## [1] 0.95</code></pre>
<pre class="r"><code>### Test for differences between male biased and female biased sex ratios for Vw male

mean(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;] - 2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])</code></pre>
<pre><code>## [1] 0.3049687</code></pre>
<pre class="r"><code>HPDinterval(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;] - 2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])</code></pre>
<pre><code>##           lower     upper
## var1 0.03779074 0.6156091
## attr(,&quot;Probability&quot;)
## [1] 0.95</code></pre>
<pre class="r"><code>############################
##### Plot (Figure 1) ######
############################

# Create a new data frame

data_va = data.frame(&quot;Sex&quot; = c(&quot;Female Vw&quot;, &quot;Female Vw&quot;, &quot;Female Vw&quot;, &quot;Male Vw&quot;, &quot;Male Vw&quot;, &quot;Male Vw&quot;, &quot;COVmf,w&quot;, &quot;COVmf,w&quot;, &quot;COVmf,w&quot;), 
                     &quot;Sex Ratio&quot; = c(&quot;Female Biased&quot;, &quot;Equal&quot;, &quot;Male Biased&quot;, &quot;Female Biased&quot;, &quot;Equal&quot;, &quot;Male Biased&quot;, &quot;Female Biased&quot;, &quot;Equal&quot;, &quot;Male Biased&quot;), 
                     &quot;Va&quot; = round(c(va_fem_f, va_fem_e, va_fem_m, va_male_f, va_male_e, va_male_m, cov_mf_f, cov_mf_e, cov_mf_m), digits=4), 
                     &quot;Va_L&quot; = round(c(va_fem_f_ci[1], va_fem_e_ci[1], va_fem_m_ci[1], va_male_f_ci[1], va_male_e_ci[1], va_male_m_ci[1], cov_mf_f_ci[1], cov_mf_e_ci[1], cov_mf_m_ci[1]), digits=4), 
                     &quot;Va_U&quot; = round(c(va_fem_f_ci[2], va_fem_e_ci[2], va_fem_m_ci[2], va_male_f_ci[2], va_male_e_ci[2], va_male_m_ci[2], cov_mf_f_ci[2], cov_mf_e_ci[2], cov_mf_m_ci[2]), digits=4),
                     &quot;Vr&quot; = round(c(vr_fem_f, vr_fem_e, vr_fem_m, vr_male_f, vr_male_e, vr_male_m, NA, NA, NA), digits=4), 
                     &quot;Vr_L&quot; = round(c(vr_fem_f_ci[1], vr_fem_e_ci[1], vr_fem_m_ci[1], vr_male_f_ci[1], vr_male_e_ci[1], vr_male_m_ci[1], NA, NA, NA), digits=4), 
                     &quot;Vr_U&quot; = round(c(vr_fem_f_ci[2], vr_fem_e_ci[2], vr_fem_m_ci[2], vr_male_f_ci[2], vr_male_e_ci[2], vr_male_m_ci[2], NA, NA, NA), digits=4))
data_va$Sex.Ratio = factor(data_va$Sex.Ratio, levels = c(&quot;Female Biased&quot;, &quot;Equal&quot;, &quot;Male Biased&quot;))
data_va$Sex = factor(data_va$Sex, levels = c(&quot;Female Vw&quot;, &quot;Male Vw&quot;, &quot;COVmf,w&quot;))

plot_va_fitness = ggplot(data_va, aes(y = Va, x = Sex, fill = Sex.Ratio))
plot_va_fitness = plot_va_fitness + geom_bar(stat=&quot;identity&quot;, color=&quot;black&quot;, position=position_dodge()) + theme_bw() + 
  geom_errorbar(aes(ymin=Va_L, ymax=Va_U), width=.2, position=position_dodge(.9)) + 
  theme(text = element_text(size = 20)) + 
  labs(x = &quot;&quot;, y = &quot;Additive genetic (co)variance for relative fitness&quot;, fill = &quot;Sex Ratio&quot;) + 
  scale_fill_manual(values = c(&quot;#E5E5E5&quot;, &quot;#999999&quot;, &quot;black&quot;)) +
  scale_x_discrete(labels=c(&quot;Female Vw&quot; = TeX(r&quot;(Female $V_{a,W}$)&quot;), &quot;Male Vw&quot; = TeX(r&quot;(Male $V_{a,W}$)&quot;),&quot;COVmf,w&quot; = TeX(r&quot;($COV_{mf,a,W}$)&quot;)))

plot_va_fitness</code></pre>
<p><img role="img" src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>ggsave(plot_va_fitness,
       height = 7,
       width = 8.5,
       file = &quot;Output/Figure_1.jpg&quot;)

###########################
#### Output (Table S2) ####
###########################

# Day:Family effects

day_family</code></pre>
<pre><code>## [1] 0.01075127</code></pre>
<pre class="r"><code>day_family_ci</code></pre>
<pre><code>##           lower      upper
## var1 0.00640565 0.01535798
## attr(,&quot;Probability&quot;)
## [1] 0.95</code></pre>
<pre class="r"><code>#print(data_va)


#########################
### Model diagnostics ###
#########################

if(diagnostics){
  
  plot(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;):SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;):SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;]))
  
  plot(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;]))
  
  plot(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;]))
  
  plot(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Equal&quot;):SexMale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Equal&quot;):SexMale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;]))
  
  plot(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;]))
  
  plot(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;]))
  
  plot(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;):SexMale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Equal&quot;):SexMale:at.level(Sex.Ratio, &quot;Equal&quot;).Family&#39;]))
  
  plot(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Male_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Male_biased&quot;).Family&#39;]))
  
  plot(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;])
  print(autocorr(2*fit_nd_1$VCV[,&#39;SexFemale:at.level(Sex.Ratio, &quot;Female_biased&quot;):SexMale:at.level(Sex.Ratio, &quot;Female_biased&quot;).Family&#39;]))

  
}</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                [,1]
## Lag 0    1.00000000
## Lag 50   0.03475088
## Lag 250  0.02255880
## Lag 500  0.01882717
## Lag 2500 0.03977770</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.055116963
## Lag 250  -0.003436646
## Lag 500  -0.035844369
## Lag 2500  0.001442688</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.002876303
## Lag 250   0.031027825
## Lag 500   0.007770641
## Lag 2500 -0.027440961</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.018228525
## Lag 250  -0.001813462
## Lag 500   0.003714078
## Lag 2500 -0.002121352</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50    0.0297301472
## Lag 250   0.0006094852
## Lag 500   0.0148324189
## Lag 2500 -0.0279949895</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50   -0.0177790031
## Lag 250  -0.0039031966
## Lag 500  -0.0008499247
## Lag 2500  0.0144813996</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.007861462
## Lag 250  -0.015658954
## Lag 500  -0.012244523
## Lag 2500  0.018504684</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.03062006
## Lag 250   0.01872422
## Lag 500  -0.02610511
## Lag 2500 -0.01719359</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.025234340
## Lag 250  -0.001274452
## Lag 500  -0.018545782
## Lag 2500 -0.030647095</code></pre>
</div>
<div id="testing-for-the-significance-of-additive-genetic-variance-for-fitness-figure-s1" class="section level1">
<h1>Testing for the significance of additive genetic variance for
fitness (Figure S1)</h1>
<p>Since estimates of variances obtained using MCMCglmm are constrained
to be greater than 1 the 95% credible intervals are also constrained to
not include 0. To test whether there was significant additive genetic
variance for relative fitness, we used a rnadomisation based approach
following Walter et al (2018, Am. Nat.). Specifically, for each
randomisation, we permute the Family column of d_fit randomly and then
fit the model fit_nd_1. For each randomisation, we record the posterior
means for sex and sex ratio specific additive genetic and residual
variances for relative fitness. This allows us to construct null
distributions for these quantities.These null-distributions were
constructed using the Rscript “Randomise_fitness.R” and can be found in
“null_distributions/fitness_randomised_NULL.csv”. We then caclulate the
95% credible intervals of these null distributions and examine if
estimates of sex and sex ratio specific additive genetic variace for
relative fitness fall outside.</p>
<pre class="r"><code># Load the null distributions for sex and sex ratio specific fitness

d_null_fitness = read.csv(&quot;null_distributions/fitness_randomised_NULL.csv&quot;, header=T)

# Store 95% credible intervals for the null distributions of additive genetic (co)variances

va_fem_f_ran_ci = c(quantile(d_null_fitness$va_fem_f_ran, 0.025), quantile(d_null_fitness$va_fem_f_ran, 0.975))
va_fem_e_ran_ci = c(quantile(d_null_fitness$va_fem_e_ran, 0.025), quantile(d_null_fitness$va_fem_e_ran, 0.975))
va_fem_m_ran_ci = c(quantile(d_null_fitness$va_fem_m_ran, 0.025), quantile(d_null_fitness$va_fem_m_ran, 0.975))

va_male_f_ran_ci = c(quantile(d_null_fitness$va_male_f_ran, 0.025), quantile(d_null_fitness$va_male_f_ran, 0.975))
va_male_e_ran_ci = c(quantile(d_null_fitness$va_male_e_ran, 0.025), quantile(d_null_fitness$va_male_e_ran, 0.975))
va_male_m_ran_ci = c(quantile(d_null_fitness$va_male_m_ran, 0.025), quantile(d_null_fitness$va_male_m_ran, 0.975))

cov_mf_f_ran_ci = c(quantile(d_null_fitness$cov_mf_f_ran, 0.025), quantile(d_null_fitness$cov_mf_f_ran, 0.975))
cov_mf_e_ran_ci = c(quantile(d_null_fitness$cov_mf_e_ran, 0.025), quantile(d_null_fitness$cov_mf_e_ran, 0.975))
cov_mf_m_ran_ci = c(quantile(d_null_fitness$cov_mf_e_ran, 0.025), quantile(d_null_fitness$cov_mf_m_ran, 0.975))

# Add columns corresponding to the 95% CIs of the null distribution to data_va



data_va$Va_null_L = round(c(va_fem_f_ran_ci[1], va_fem_e_ran_ci[1], va_fem_m_ran_ci[1], va_male_f_ran_ci[1], va_male_e_ran_ci[1], va_male_m_ran_ci[1], cov_mf_f_ran_ci[1], cov_mf_e_ran_ci[1], cov_mf_m_ran_ci[1]), digits=4)
data_va$Va_null_U = round(c(va_fem_f_ran_ci[2], va_fem_e_ran_ci[2], va_fem_m_ran_ci[2], va_male_f_ran_ci[2], va_male_e_ran_ci[2], va_male_m_ran_ci[2], cov_mf_f_ran_ci[2], cov_mf_e_ran_ci[2], cov_mf_m_ran_ci[2]), digits=4)


#################
### Figure S1 ###
#################


plot_fitness_null = ggplot(data_va, aes(y = Va, x = Sex, color = Sex.Ratio))
plot_fitness_null = plot_fitness_null + 
                    geom_point(stat=&quot;identity&quot;, position=position_dodge(0.9), size = 3) + theme_bw() + 
                    geom_errorbar(aes(ymin=Va_null_L, ymax=Va_null_U), width=.3, position=position_dodge(.9), size =1) + 
                    theme(text = element_text(size = 20)) + 
                    labs(x = &quot;&quot;, y = &quot;Additive genetic (co)variance for relative fitness&quot;, color = &quot;Sex Ratio&quot;) + scale_color_manual(values = c(&quot;#CCCCCC&quot;, &quot;#999999&quot;, &quot;black&quot;)) +
  scale_x_discrete(labels=c(&quot;Female Vw&quot; = TeX(r&quot;(Female $V_{a,W}$)&quot;), &quot;Male Vw&quot; = TeX(r&quot;(Male $V_{a,W}$)&quot;),&quot;COVmf,w&quot; = TeX(r&quot;($COV_{mf,a,W}$)&quot;)))</code></pre>
<pre><code>## Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.</code></pre>
<pre class="r"><code>plot_fitness_null</code></pre>
<p><img role="img" src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>ggsave(plot_fitness_null,
       height = 7,
       width = 8.5,
       file = &quot;Output/Figure_S1.jpg&quot;)

# For table 1, combine Va, Va_L, and Va_U in one column with brackets

data_va$Va_for_table1 = paste(data_va$Va, &quot; [&quot;, data_va$Va_L, &quot;,&quot;, data_va$Va_U, &quot;]&quot;, sep=&quot;&quot;)

data_va$Vr_for_table1 = paste(data_va$Vr, &quot; [&quot;, data_va$Vr_L, &quot;,&quot;, data_va$Vr_U, &quot;]&quot;, sep=&quot;&quot;)


print(data_va)</code></pre>
<pre><code>##         Sex     Sex.Ratio     Va    Va_L   Va_U     Vr   Vr_L   Vr_U Va_null_L
## 1 Female Vw Female Biased 0.0323  0.0118 0.0582 0.0405 0.0351 0.0460    0.0007
## 2 Female Vw         Equal 0.0516  0.0233 0.0864 0.0321 0.0277 0.0365    0.0007
## 3 Female Vw   Male Biased 0.0891  0.0438 0.1529 0.0606 0.0524 0.0685    0.0011
## 4   Male Vw Female Biased 0.1051  0.0125 0.2120 0.3959 0.3355 0.4543    0.0059
## 5   Male Vw         Equal 0.2565  0.1196 0.4304 0.3417 0.2865 0.4002    0.0070
## 6   Male Vw   Male Biased 0.4100  0.1658 0.6851 0.7173 0.5989 0.8251    0.0132
## 7   COVmf,w Female Biased 0.0194 -0.0103 0.0518     NA     NA     NA   -0.0011
## 8   COVmf,w         Equal 0.0524  0.0038 0.1098     NA     NA     NA   -0.0014
## 9   COVmf,w   Male Biased 0.0846  0.0099 0.1817     NA     NA     NA   -0.0014
##   Va_null_U           Va_for_table1          Vr_for_table1
## 1    0.0028  0.0323 [0.0118,0.0582]  0.0405 [0.0351,0.046]
## 2    0.0030  0.0516 [0.0233,0.0864] 0.0321 [0.0277,0.0365]
## 3    0.0056  0.0891 [0.0438,0.1529] 0.0606 [0.0524,0.0685]
## 4    0.0482   0.1051 [0.0125,0.212] 0.3959 [0.3355,0.4543]
## 5    0.0540  0.2565 [0.1196,0.4304] 0.3417 [0.2865,0.4002]
## 6    0.1111    0.41 [0.1658,0.6851] 0.7173 [0.5989,0.8251]
## 7    0.0012 0.0194 [-0.0103,0.0518]             NA [NA,NA]
## 8    0.0013  0.0524 [0.0038,0.1098]             NA [NA,NA]
## 9    0.0030  0.0846 [0.0099,0.1817]             NA [NA,NA]</code></pre>
<pre class="r"><code>write.csv(data_va, file = &quot;Output/fitness_vA_output.csv&quot;, row.names = F)</code></pre>
</div>
<div id="examining-repeatability-of-fitness-measurements" class="section level1">
<h1>Examining repeatability of fitness measurements</h1>
<p>We had performed two replicate assays for sex and sex ratio specific
fitness. These replicate assays were performed using a separate set of
flies generated in a different generation. Here we measure the
among-replicate correlation for line means for sex and sex ratio
specific fitness.</p>
<pre class="r"><code>d_fit1 = aggregate(d_fit, Measurement ~ Sex*Sex.Ratio*Replicate*Family, FUN=&quot;mean&quot;)

fit_corr = function(sex, sr){
  
  d_fit2 = d_fit1[d_fit1$Sex==sex,]
  d_fit3 = d_fit2[d_fit2$Sex.Ratio==sr,]
  
  days = unique(d_fit3$Replicate)

  
  rep1 = rep(NA, 43)
  rep2 = rep(NA, 43)
  
  for (fam in 1:43){
    
    if(fam %in% d_fit3[d_fit3$Replicate==days[1],]$Family){
      rep1[fam] = d_fit3[d_fit3$Replicate==days[1]&amp;d_fit3$Family==fam,]$Measurement
    }else{rep1[fam] = NA}
    
    if(fam %in% d_fit3[d_fit3$Replicate==days[2],]$Family){
      rep2[fam] = d_fit3[d_fit3$Replicate==days[2]&amp;d_fit3$Family==fam,]$Measurement
    }else{rep1[fam] = NA}
  }
  
  

  plot(rep1/mean(rep1, na.rm=TRUE), rep2/mean(rep2, na.rm=TRUE), title(paste(sex, &quot;-&quot;, sr)))
  abline(0,1)
  return(cor(rep1, rep2, use = &quot;complete.obs&quot;))
  
}

fit_corr(&quot;Male&quot;, &quot;Male_biased&quot;)</code></pre>
<p><img role="img" 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xfzOL0z82/pSPphx1MJKIDE+HpuHAvo5tNya0zp4uXAmSOgADTl061joLH1eTWhi5OhD0RAAejKp1Nn4TPrLxfnx8fHJ6Lr6gkoEDxt+ZwgoOrqS+GlSBoQUCBwGvM5wZVIh1N+JBIBBcKmNZ+Wr4X/R3rifLoNUAIKhExzPt26G5MGBBQIlYZhny2Pqffx7gzowcfOvxTYPSaqpd4EFAiSmfe/3dvZvf+qeWIEFMDdTL353fpMpAbuxgTgLua2nRwP6Ob79aCNWgIKhMbkruckAf086qPlxiCgQFjMHrmbIKC3b6YbCEpAgZCYPvFhPqDfz/f390/KHe1PywlH0hNQIBzmzxubDuj6LLvvx5+zf7+JprwUiYACgbAy7MZ0QE/r4+eT+9HlMRVYnx/tP/mlPITKWXgALSyNWjQc0JXq5cmFugmdCl2yObonH0r/R3ozu/I2dgQUQIO1Md+GA3qa7a/fPleboGfjNj/TO9In8juKElAAWyxeMmP4SqTX+a1D4vY9+DRu8zP5TKS9t9fXZ+q/aTYJKIAaq1ccGr8WPvvQtzh+i0dR9L/GjAC9zLc81T3x0oISUAAVli/YNh7Qe8WmYrz7PupGduXmbPJl0lICCqBg/X4XNgM67BOIG6qxzD8QnoACyExwuyCbAR15I9BaLLPHI6AAEpPcbc1iQEdugG7FUh1UfUdAAWysDftsma72R6x8XQvo2OuPKsdAlVUU3ftIQAFMd69fhwK6/YHI8T/v/ZOAAoGb8k7pLgVUjQM9qNz+M71MlIACAZv2gyZcCmhyJVL1Uc4IKBC0qT+nx/xA+l+TT0P6bZl/pT4aSTqcfvtWeJ+WBBQI1tT5nORjjcfczm599aIW3/XZkoACQZo+n84FdPTMTf18A9BiDvm0/bHGY3fhx8/c9M84gPIzx8f8udYZknH9UzkHmsVzDgSv3B8V/7H2eZIgoABsK/onCOGM8klAAVhXCeDQt+Sc6rkxfhLpaP/xZCeM2szpqQdCVX0fDnpPziyf9gbSz8S8nnwgTMKAzi6fBBSAdaKAzjCfBBSAdYKAzjKfBBSAdYMDOtN8ElAA1g0M6GzzSUABWDdkGNOshn02mA/oh+uGr51/bNp8XwggIL0H0s87n9xMBIAx3Zdr9ruUc+b13BBQAKbsqmSPfs4/nzZuqPzkuOEFd2MCvDfmgnc38slJJABmjLjg3ZV8ElAAZogveHcnnwQUgBn+3DFkBwIKwARZQOc+bmkLAQVggiSgjuWTgAIwY3hAXavnhoACMGNoQB3Mp/GP9Pg+4WWbbdx7gQBHDRvG5GQ++UwkAIYMGEjvaD4JKABT+l3w7nA+CSgAY3r10+F8ElAAU3I6nwQUwGScG/bZQEABVPQ7bKlvSuanYxIBBVDqe+JHz4QMT8M8AgqgMO4enoOm48WbkYACyI26h+egyXjyViSgAHIj7uE5ZCK+5JOAAihZCKhP+bQT0B9H+49/L/4zKY9eOUA/4wH1K5+WAprek2kOt2by6rUDdDMcUN/ySUABlEwG1Idhnw0EFEDOXEDnnk/h6FcCCiBnahjTzOspv36AgAIoGBlIP/t8yhebgAIo6b+Uc/75HLHhTUABVGjupwP5HHPol4ACMMWJfBLQ3lx4MQFPOJJPAtqbGy8n4L65j1uqIqA9ufKCAm5zKZ8EtDd3XlLAXU7Vc0NAe3PqVQWc5Fo+GcbUm2OvK5xl75OF5sbJxZ71QPrN9+uvlf9Myb1XFk6y9slCc+PqMs/5Us4ZcfK1hXNsfbLQ3Liaz82sbyYyI66+unCKqVtyzJzD+RQjoIBuVj5ZaG5CzCcBBfQLL6BBHu9VCCigW2gBDTafBBTQL6yAhlvPDQEF9AspoEHnk4AC+oUT0MDzSUAB/UIZxhR8PgkoYEAQA+nJ54aAAib4fymn1wvXHwEFDPC8nz4v2yCWArq++vm49OKb7on2xYsOjOX1/xoGshPQT8uoarq72vGyA+OQzyorAV1FEQEFPEA966wE9DR+zg/eXxemuy0orz0gRz63WbojffRM92RkePUBKfLZZPEjPeaA1x+QIZ9tbAR0/ZqAAvPVY8wV+Wxn6Rjo4p3uyciwDgDb7h71Tz67WAlovA//UPdkZFgLgC13XndKPrvZGQd6s4yeTjZ4vor1AKi7484nDPvcydKVSLeHUXR/P/d4/BHR9eeL94LRUKwJQN3Oe++RzztY2wLVMJC+/Fz5q8PkcRaDN2tZF4C6HQGlnneyEtCtfgoDWoyGWp8Vj7R4NXDmWB2Ams6Aks8ebF2JtDi5HnslUhFQdWHT4snx8ZF6gYcVlBUCqOsIKPnsxdaVSAO3FNvkAVVX1qf77revh27NskoAda0BJZ89OXQlUv4w8QZoPihq/XrgRaKsFEBdS0DJZ28OXYmUBVRFs9iejbdGHww5kcRqAdQ1hjGRzwGsHAO91LkLX9ueHbpxy4oBbKkNpGfc0jBWAhpvNA7aTmxHQAETtm7Xy3tkADvjQOOC7n0Y+8DlMdDyyvqbJQEFRqKeYlZOIh3t7yevzbgrkVRAVTlXlRNHHAMF9CCfEraGMekZSB+7/6cPfyk2QQffqpk1BGhDPmWcC2jlEdZ/LBkHCoxHPqWc+lz49Zfzo2UZUFXUgTcaZS0BtpFPOacCmkgqmgd07+OwP2Y9AerI5xhWAnq291b3VJT1fwzMJwEF6sjnOJauROIjPYDZYeDSaA5dC68DawuQIZ8aOHQtvA6sL0CCemph61p4PlQOmA/yqYmds/CfltHer9e6p7S56+jA9jW+rDTAhnxqZGUX/ufjnzQMpG9DQIGBeB9o5NCVSG24GxMwCPnUytbNRGo0fKxx7vuwD1hi1UHQyKdm7l2JNAorDwJGPrUjoEAQOAdgAgEFAkA+zSCggPeopykEFPAc+TTHfkAnvTKe9QihIZ8mEVDAY+TTLAIKeIt8mjbBMdCBY98LjQuaBJc1sTYhHOTTPIdOIhFQoDfGLVnhUEA3t4cEFOiDfFriUkDVnZmHfQx8A+sUAkA9rZkkoNffhI+tCvpK+LcJVit4j3xaZCmg69+Oc/uPRpyFH3sKnxULniOfVtkJ6Gqp636gq3E78axa8Br5tMxKQG/q/YwOpLvwoz+gjpULHiOf1tn6ULno4Lfn0eJfzw+jaDHqKObN8fG/yf+a1QveIp8TsPSxxmq/+zQ5ARTH9IF8A3QsVjB4inxOwtJnIi3eJel8puFE+iisYvARwz6nYimg6rjlKv10+NWUHxLPSgb/kM/pWAzozTLZeY//Nd0+PKsZfEM9p2TpGKgKaFZO7sYEaEM+p2XlLPxpcgy07CgBBXQgn1OzNYxJHfZMT8OvpjwNz9oGf5DP6VkJqLoRXRzNOJ33Pvznc04iAeORzzmwdClncvmmGsGkqP35ibDGeS6/2G3q+TAujKWcP0s3E7k6TA5/Jjf0XLzUPcn+WOf8Vl4uPPWcmBXAIjrC8u3sro6PT2Qf6KEHa53Xiqp4nZcQ/g/hDKduqDwe653PKlnx94Umn7NCQOGN6qvr6StNPWeGgMIb3geUfM6OrYB+/vm49IJxoDDAqYAOP9tFPmfITkBvtN2RfiRWQJ+5FNDB4wXI5yxNckd6AgoTHAro0PEC5HOmrN2R/vGv14XpBjKxEvrMnYAOHC9APmfL1h3pp7t6s4bV0GfuDGMalHryOWMW70g/B6yI07B0fZAzA+n7B5Rhn/Nm8YbKc8CqOAlrV1i6ciln34C6sCxhs3hD5TlgZZyCxQ1DN/rZM6AuLEnobJ1Emu5z5GpYHyfgzqFJa/oElHy6wNb9QGeyCcoaOQHdJ8cd2crc5e6nxPUlDIW1gfSLk2vdUxJgnZyA5oC6cpxzl7s2yh1fvIBYOonEQPqA6Q2oM2fad9q5FOTTHQQUpmkNqC8HVLu3o8mnS6wE9Gi/7jEBDYnmgGp8sCm199P1YxPB4XZ2MI2A9kU+nUNAYZrWvW6PA0o9HURAYZzO8z7eBpR8OomAwjyNI488DSj5dBQBhQX6Rm56GVDy6SwCCqf4Moypgnw6jIDCLX4MpC+RT6cRUDjGh0s5C74sR7AIKFzjTT89WYygEVBgEuTTBwQUmAD19AMBBawjn74goIBl5NMfBBRoMHmeinz6xH5A07uDPv6oe7q9sOaiB4MjpcinXyYJ6OLJT8tpPmaOdRd3MzdWn3z6ZpKA3vt9s/77g2+6p9wDay/uZOxqUfLpnwmOgX6//qp7mr2x/uJOZu5XEs6wT28udOiDk0hAnYmABpWUuwvqT2MJKFCnP6CexKKXPgeQPbqdAQEF6nQH1I9S9NTnALJPN9QioECd3oAGlc9eT55Xt3Q1H9D1+dH+k1/KU+7pWfiJuP+CwTidAQ0snz0DeuevuMN4QP9YJuvQ4iRPKAHFvOnbQgounwRUwyPW/nVZHC7Ox30SUMycpmN0AeaTgGp4xOo/buLtz72319dn6r9pNgko5k7DWWJPTjIPRkBHP2L1H5f5luftYV5QAorZG9vPUPPpR0CHvPpmA7p+HeXXvKsvk5YSUHgu2Hpueh1AnntAB+1/mA1oNZaqoA83BBSeCzmfmz4HkGc+jGnYEXB7AU3uY/eMgMJrgedz02cDbtYD6Qfm3WJA1RmlxTsCCn+Rz02fQ4hzvpRz4AEGa8dAlVUU3ftIQOGpmSZhhubbz3kFVJ2Ff1j/571/ElD4aK5FwCDzCqgaB3pQuf3nabKWEVD4hnx6Yl4BTa5EqvbyjIDCgGn3CWe7P4rBZhbQzadlvZfxvwkoNJv0rAT59MncArpZX72offrR+mxJQKHVlONiqKdfZjWMaXZY1X004chs8umdOQ2knx1Wdh9Ndm0g+fTRjC7lrFp/ubi4uNY9tYFY3X00UUDJp6fmczOR0tVhNlOPP+qe4BCs8D6q7sFbO6NDPrGxFVB1RVLhme4pDsAq76PiVbV3Mp58ImEnoGr8/OLJLxf/+GnigrLS+6h61D/52nTcyCcyVgK6ile3p+lYpvVZpO4oMhVWex9lr2oStfRrk68zwz5RshLQ0+oV8af1y+PtYsX3UVRWs9wYNTct8omCjYD+eF7d6LxZFp8vZx+r/nyNOHwZZTvu1TF8OmetOiFWIVRYCmjl2qPRt7NbX3++uLh4fy2pMGv/bI06AdT4YyMvNPnENhsBXb/WF9Avbyrn8w8+DJ451v+ZGnk15nZ8DbzQ5BNNVo6BXlZvq7wacQz09jCq2xt4Pop3wEzpaJ/R8fTkE22sBPTHYXQvHz9f3xwdZrVUa/H+ceqR+sfi1d1/Vp053gPzpCN+BgNKPtHO0kD6N9HiZfJVvA0pHsWkPpVu8bbyjavBt8bjXTBTegJqaA+efKKLlZNIR/v7ahW8n/5nsZ96PHRD9LKRy+yDPgfMHO+DedKy9TjyOGr3o7LaoIOls/Bthu7Jb31CXWIVDRsTxTthpvTsfo86k7/jEXU9GmzRvR7smJD2R2x8R1NA207fDz2lz3thpjQdv9T8viGfjtL/f9LuKWl/RN0PmCOgHpvslp47UE9XmTmW0zEp7Y+o+wFz8S584/wTu/CeMDuEU4J8OsvmyuRQQNVV9Fu1VIdFBw0q5S0xVxY3Gvognw6zuTtjL6DfLy7ef9usv3b8uAf1IfMPqvdjvn099NZOvClmy95hq57zIviTWcw8fAzop0fpaaMfz/fkt6S/TEZBHf96ofyWjqQfdnNRVvD5mk2CJHMxp/wHz8OAnuXn3et3Zhrq03LrTH42PL//zLF+YzdRBWd2ACJw/gVUbTru/U19Hrw6ajnibnbr82pCFydDH4nV239jNgWFfzm/U2BB8y6g6uDly3jjU404ahsOP8j6y8X58fHxycUHQYdZvb03YmdaHN45DsIKmHcBPU3OlacBHXU3ptFYu30n35kecQSTgM6Kb8OYsgGcWUC5Iz3MEb93Rp0AIqDz4tlA+uxyoSygo+9IPwZrt+eEKRt5/pyAzoy9QREEFD4RpWz0O42Azo21QWWO78LvrnHUQteUMUuClGlYLQhosGydRHpWBPRS50kkAoqawSnTslIwjClYVgK6ysbQq9bFX48bxlTD3ZhQMzCguv6fykD6UFkJqBr7uXirArr+ezRqIH3D9+tBF9ezentuSEB17pKwixMoO1ci1W6pPOJSztFYvz3Xf2dac+7oZ5gsXQuvtkEzI24mMh4ruO967kwTO2hh7XZ2t2/UzZMWBx90T28Q3jTe67MzTT6hiUs3VNaAt43/7uwn+YQ2VgJ6tve2+c1J8MYJHvmERhYH0s8Bb53AkU9oZfFSzjngzRM08gnNLG2BElBMjnxCOyvHQPVcvVkbTFriSiT0wChNmGDnLPynZbT36/XIByagkHpq8ZEAAB/ZSURBVCKfMMPKLvzPxz/Jm1e6PSSgEKCeMMXSSaQRzatQ1zMN+xjjxszxPgoO+YQ5VgJ6tF/3WHpKafQn0vFOCg35hEmOXYk0dkQU76WwkE+Y5VhA1e1Ex+zE824KCfmEaa4FdOSYUt5P4SCfMM9sQNfvd/ziZ9F9lW+Oj/9N8ncp3lGhIJ+wwWxAfzzvvPvn7Zsprk7iPRUEhn3CEsNboG+i6GnbZ27cvtH7yR598a4KAPmENaaPgf6xjKLGTZSvjqJo8WfdE+6D95X3qCcsMn4SKb186ElxIef1P47UNyb6YA/eWp4jn7DKwln4q/wKzMX+Mvtqshss8+byGvmEZVaGMX05ql3J+Xi6z0Xi7eUx8gnrbI0Dvfo52fxc7L/YNbLJON5g3iKfmIBrA+lH4i3mKfKJSRBQOI9xS5gKAYXjyCemQ0DhNOqJKdkK6Oefj0svJrgGKcV7zS/kE9OyE9CbZVQ13Wd08m7zyd35zNc4SzOE4FgJ6FY/CSg06FHGcpWzM0sIjq2PNY4e/3pdaLu9iB28k3zRJ4vFb1BQGGLlUzlfa/lceB14I/mh11Zl5Vd43WGGpU/lXLzTPRkZ3kg+6LlTXv2dkF54DltYZCmg0x31rGOtcl7/OAQaUA782mRpF56AQoshZQgzoBz4tcrWSaRRn+auD+uU04ZtVwUZUA782mUloPPZh2edctjQ3dJAA9r+NcywNpB+cXLd8gPbWKWcNfyoXpAtCXKhJ2TpJBID6TGK5KRIkHuzBNQuAor5E55TDvF8CgG1y0pAj/brHhNQ9CcfkhPgiB4Cahe3s8O8jepfcP0koJYRUMxYaPkbL8gDvxMioJgt8ikQ4oHfCU0S0GtuqIw7UU+ZAA/8TshSQNe/Fbej33/EWXjciQKI0U+L7AR0xR3pMQQBgBsmuSP9Abvw2IF8whXW7kh/8NvzaPGv54dRtJjwxiKzfF+yy1UT5nPBSuAmW3ekf7bZnCb3ZIpj+mCyDdBZBpSD/lWBPhGsBI6yeEf6yySjqqbTbYLOcP1k2Ekp2ISwErjK4h3pV+knI62m/ICk+a2eDHwuBJtPVgJ3WQzozTLZeY//Nd0+/PxWTy69ywRbzw0rgcMsfqRHVs5J7648v7WT904i5HyyEjjMyln40+QYaNlRAlrivbMJPZ+sBA6zNYxJHfZMT8OvpjwNP7+1k/dO8PlkJXCYrc9EUtGM03nvw38+5yRSVfDvHfLJSuAwS5dyJpdvqhFMitqfn8j81s7A3zvkUwl8JXCZpZuJXB0mhz8Pk36+1D3J/ua3dgY9goV8poJeCdxm+XZ2V8fHJ191T3GAGa6ewY6hDnfYZ1OwK4HzuKHy5MK8ii+8Jd4pzJXAAwR0egG+dUJb3rsFuBJ4wV5Av19cvP+2WU+5Az/TgAaHUsAXtgL66VGUnIn/8Xzvo+4pDsD7dnrkE/6wFNCz5F2TBHTKUUwEdHLkEz6xE1B1R+W9vy2zsaDcDzRY5BN+sfaRHi/jjU81FpT7gYaLfMI3lm4moq7eTAPK/UBD1ZZPzj3DbZZuZ6eOe2YBzW4LOg3eqhNp7ySjH+E4izdUzgLK7ezC0xHJOVx/Q8ExBgGFaV2BmsMV4GwDYxR24WFWd51mcA+iOWwDw2W2TiI9KwJ6yUmkgOzauJs+oHPYBobTrAR0lY2hzz6bk2FModi9bzyHgE49B3CclYCqsZ+Ltyqg679HDKQPxV2HFqfP1/RzAMfZuRJJfaZHgUs5g3D3mZnp8zX9HMBxlq6Fzz/NQ13Syc1EAtDnxPb0+Zp+DuA4a7ezu32j7se0OPige3qD8C6xoee4oOlP4RBQjMQNlaFZ/2GVkw8iIqAYiYBCq0GD0qcexj79NjAcR0Ch0dAYTn0Z0OTbwHCcrZNIVz8fl15wJZKXHLwkcuptYDjOTkA/LaMqroX3kZsZop8Yw9aVSATUc1QIIbJ1LXx08P66MN0nc/IeN4N8IkyWbmenbiYyB7zLDWAfGMGyeD/QOeB9rh35RMAs3Q+UgHqKeiJolo6BTnkDkSre7FqRTwTOSkDjffjp7qFcw9tdpnWwD/lE8OyMA71ZRk+nuwloBW94kbbh5uRzEMab+snSlUi3h1F0fz/3ePwR0fXni/eC0VCswBItFzwSg2G44slT1rZANQyk/14MIL06TB5nMXizlvVXoPKuz76iBANxzb2vrAR0q5/CgBajodZnxSMtBn68EquvwPZN38jnUM3/BcETtq5EWpxcj70SqQiourBp8eT4+Ei9kYcVlNVXoHHkk2dxIO476i1bVyIN3FJskwdUXVmf7rvfvh66NcvaK1B50sinCAH1lkNXIuUPc1p+sLz6qKVBF4my9gpw5mgsAuoth65EygKqollsz64Gfkgya69A9cwRT6AEAfWWlWOglzp34Wvbs0M3bll7BZInLYsnT6AEAfWWlYDGG42DthPbEdCJVEYw8vyJEFBv2RkHGhd0b/TnGZfHQMsr62+WBNS8YtedPXgZhjF5y8pJpKP9/eQ9OO5KJBVQVc5V5cTRZMdAA7qupDaEd+qZcRQD6X1laxiTnoH0sft/+vCXYhN08K2adS1uOEVJFzKUpTUmnBUmMM4FtPII6z+WE40DDWWDgre8NvTTT059Lvz6y/nRsgyoKurAG43qWdxADmnxjgfu4FRAE0lF84DufRz2x7oCqvsRZ4h6AncyG9D130afe99h/R8D80lAeyOfQA9mA6p2sh+/ncWtlFMuB9TiUTTyCfRieAv0/JF6Ky7+NHhT0RCHA2rvPC75BHoyfgx0ffVT8oacx4aouwG1duKffAK9WTmJdPvXR+kQzsk3RJ0NqK0T/+QTGMDWWfj1VXL74+hA74bo7mvhoxY6pjrBMCYrzWbcEjCMzWFMt39NBnHeP5Hdkb7NNAGdYCC9hYCST2Aoy+NA0w1RHXcHTU11NyZ7Z3SKCbZ/rXEC1BMYaoKB9F/++j+0BbTySZ29OHszEcMBJZ+AhHtXIo3ibCWMBpR8AjIE1A0GA0o+ASnzAV2fH+0/+aU8967pI+ZknC2FsRP/5BOQMx7QP9LbJy1O8oSODuj6+vPFxcX7a8l4KHdbYebEP/kExjAd0MvidHV+5/hxAf3ypjIk6WDwrUocroWBE//kExjHcEBv4u3PvbfX12fqv2k2xwT09nBrVOfesNuBuhxQ3Sf+GfYJjGY4oJf5lqdKX1rQEQFdJYcD9o9T6X1KXg2bOYqRIp+ABobvxvS6+ER49WXSUnlAkzvQv61842qqj/RwHfUEtDB+P9AicKqgDzdjAnrZyOVkHyrnNPIJaGIvoHntxAGtbM4WJvtYY3eRT0AbiwFVZ5QW7+QBbfvDqa6Fdxb5BDSydgxUibcX730koNMhn4BW5s/CP6z/894/R+zCNz7EmF34AcgnoJmFcaAHlfslnSZvYuFJpNNGLfMTU/1nLtyAkE9AOxtXIlV7eTYioKrGD6qfCnIb97OxUbp75gJNCMM+AROMXwv/aVnv5afBYzdLyXWhi+NfL5Tf0pH0g0YxBRpQ8gmYYeFuTFcvavvd67Ol+FLOT8utSzkXLwfOXIAZoZ6AKY7dD3R9Xk1oeYunvsIrybB8ar9fCeA1xwIaW3+5OD8+Pj65+CC4n11oaRhYQwN3fAJ8Zi+gcfguLq51T22gsMowNIXFb1NQoBdbAb3Kb0T3+GPrzy0JKQyDtyQrvx7S8wTI2QmoGq9ZGHbeXK9wwiDYEbfw2fOAX+wEVI2fXzz55eIfP01c0FC6IDqOSUCBgawEdBW/m5+mp3zWZ0PHvmsVRBekp4EIKDCQlYCeVi+4PB149aVWAXRBfhadgAID2Qjoj+fVjc6b5bD7f2jlfRfGjEEioMBAlgJaufaIz4U3Z9wQTgIKDGQjoOvXBNSGsSPgGcYEDGTlGOhl9bbKK46BGqHhAiIG0gPDWAnoj8PoXj5+vr45apu3YdBz/SWXcgKDWBpI/ya/b9Lt4ZSjmHwNqLbm0U9gCCsnkY7299W78n76n8V+6vEEG6I+poHkAVOxdBa+zRR78v6FhnwC0yGgTqOewJTcux/oKH7VhnwC0yKgziKfwNQIqKPIJzA9ewH9fnHx/ttm/bXjx3b40hzyCcyBrYB+epSeNvrxfG/KW9L7UR3yCcyDpYCe5efd63dmss6H7pBPYC7sBPQyfsvv/U19Hrz6cI/p7mbnfkAZ9gnMiJWA3iyj6GW88alGfqqCvmr+iiWOt4d8ArNi8Y70aUC5G5MY9QRmxtL9QNVxzyyg3JFehnwCs2PxjvRZQLmhsgT5BGaIgLqAfAKzxC78/JFPYKZsnUR6VgT0kpNIg/TNJ/dCBqyzEtBVNoZeBTT+mmFM/fVuYnmbQNOzBCBnJaBq7OfirQro+u8RA+l7GxDE4vcoKGCPnSuRardU5lLOfoZsT1Z+0aVFBBxn6Vp4tQ2a4WYivQzbG6/+qjvLCLjO2u3sbt+o+zEtDj7ont4gc4hLn2OVQw9mElBgCtxQ2f4s3FnQ4eeCCCgwBSsBPdt7q3sqQtPH5e6zPZJT6QQUmILFgfRzMHlc7jzbIxuJRECBKVi8lHMOJo/LHaWTDuQkoMAULG2BEtCWGdiemRHj4BnGBEzByjHQSa/erJm8Lt0BHXcZEQPpgQnYOQv/aRnt/Xqte0oCk9elK6CjL8LkUk7APiu78D8f/xRVBXw7u/aA6ggf/QSss3QSKSKgzRmo7HVPPl8ABKwE9Gi/7nHIAd0+20M+AWdxJZL1Oaid7SGfgMMIqP1ZKI9Wkk/AaQR0gnnI+kk+AccR0IlwyhxwHwGdBPkEfEBAJ0A9AT8Q0AnmgXwCfiCg1ueAfAK+IKCWp08+AX8QUKtTJ5+ATwioxWmTT8AvBNTalMkn4BsCamey5BPwEAG1MVHyCXiJgJqfJPUEPEVATU+QfALeIqBmJ0c+AY8R0Nbf0nLYknwCniOgbb+ko6DkE/AeAW35HQ0fsU4+gQAQ0OavbH/sm2Qy5BMIAAHd9SuiZ4dhn0AoCOiuXxE8O5pOQAFwAAHd9SuDn51IzwkoAE4goLt+ZeCzUwknBQUCQEB3/cqgZ6e+4UlAAf8R0F2/MuDZaey4U1DAewS0+SuCrcgsngQUCIqDAV1ff764uHh//U3wt2YG0hfbngQUCIprAf3ypnKi++DD0D83cCln9TcJKBAUtwJ6exjV7b0b9gDabybSfeaIgALecyqgq6Wq1f5x6pH6x+LVoEfQvLjbmSWgQFBcCuiP53Ew31a+cRUH9d7vQx5C6+I2t1IZxgQExaWAXjZyqZL6bMhDaFzc1p18BtIDIXEooOvXUbS9w76KogdDzsZrW9yuY6RcygkExKGAxpubjf31tu/tomlxdxSSfgLhIKDDEUgACYcCGu/CL7ZHLU2wC08+AWQcCujmtFFLdVj04ZCHGLu47J4DKLkU0JtlXNCPlW/cxv1sbJTupOFz4sgngIxLAVXjmOJiHv96ofyWjqQfNIpp1OJSTwB1TgV082m5dSnn4uWwB5AvLvkEsM2tgG7W59WELk6G3pFJei284Xwy9glwkmMBja2/XJwfHx+fXHwQ3M9Odjcm03Fj9D3gJvcCOorkfqDGy8b1n4CjCGjzV2o3BDG/YcgdSABXEdBdv2Jlv5p74AGuIqDdv2LpsCQBBVzleEB3XwsftbjzISsHJO0ckySggKsIaPOPij+10zMCCrjK64A29QxonloCCmAHxwO6+X79dciv9zsLX2ypElAAO7ge0IH6BrT3b2vAMCbAVQR0+xeq/bSzLAykBxxFQOs/Tk8dWb6ykks5ATc5GND19eeLi4v314JL4Xcubpkw6zmjn4CTXAvolzeVIUkHH4b+effiUjAAQ7kV0NvDrVGde4PuR9+9uNQTwHBOBXSV3Ax0/ziV3JB+8WrQI7QvLvkEIOFSQH88j4P5tvKNqziog8bRty4u+QQg41JALxu5VEkd9KFIzcUlnwCkHAqo+gzj7R32sZ8LTz4ByDkU0Lbr3sddC08+AYwRcEDJJ4BxHApovAu/2B61JN6FZ9gngNEcCujmtFFLdVj04ZCHKO6yRD4BjOZSQG+WcUE/Vr5xG/ezsVG6U3aXT+oJQAOXAqrGMcXFPP71QvktHUk/aBTTJr9ViKEZBBAUpwK6+bTcupRz8XLYA7DvDkAftwK6WZ9XE7o4GXpHJvIJQB/HAhpbf7k4Pz4+Prn4ILifHfkEoI97AR0lAgCNtDdK9wPqNPWTDcAv2hul+wEnEeK+PsschhCX2aGFdmZGd3Ln+daHZQ5DiMvs0EI7M6M7ufN868MyhyHEZXZooZ2Z0Z3ceb71YZnDEOIyO7TQzszoTu483/qwzGEIcZkdWmhnZnQnd55vfVjmMIS4zA4ttDMzupM7z7c+LHMYQlxmhxbamRndyZ3nWx+WOQwhLrNDC+3MjO7kzvOtD8schhCX2aGFdmZGd3Ln+daHZQ5DiMvs0EI7M6M7ufN868MyhyHEZXZooZ2Z0Z3ceb71YZnDEOIyO7TQzszoTu483/qwzGEIcZkdWmhnZnQnd55vfVjmMIS4zA4ttDMzupM7z7c+LHMYQlxmhxbamRndyZ3nWx+WOQwhLrNDC+3MjO7kzvOtD8schhCX2aGFdmZGd3Ln+daHZQ5DiMvs0EI7M6M7ufN868MyhyHEZXZooZ2ZUQCYGwIKAEIEFACECCgACBFQABAioAAgREABQIiAAoAQAQUAIQIKAEIEFACECCgACBFQABAioAAgREABQIiAAoAQAQUAIQIKAEIEFACECCgACBFQABAioAAgREABQIiAAoAQAQUAIQIKAEIEFACEnAzo7ZtlFC0OPg77kds6F2z9Oiq8mmDGDPvx/N7vLd/29nVWWpfZ49d5fb4fL9R9J9/QLgb00zJdjRZ/HvIjt3Uv2I/n3r6xNkk22gLq7eustC+zv69z/mJG0dPOn832hXYwoKvuFWnHj9zWb5k9W+jY+jRqi4m3r7Ny9zL7tdDVBXvY/bOZLrN7AVX/J96Lt+i/HDbWsx0/ctuuBbuc7bo1XrLb2nwlvX2dlY5l9vZ1Tl7MD5v01Vy8a/5s3i+0ewGNV6QH39QXak171vdHbtu1YKdzXbXGu0r235qL5+3rvOleZm9f51Wx3alezfomqAMvtHMBjZ/K/H9TN8vs6b37R27btWDxzzxa0qrbeLMjOjhsdsPb13nHMvv7Op+WW9YuvqGdC2i8VZ8/k5Xn964fuW3XgsU/2z5w5Il482Pxsu2Eirev845l9vh1LlVe2O1/z/aFdi6gq8pm/mn9sNCOH7lt14LFP3t1exRvtzx+a3/GjLpcPP3Wekba29d5xzJ7/DqXtgPqwgvtYkCLgyGXjYB2/chtuxbsMlr8lJ2nPJjlPo7Yd7U4HQH183Xescwev86l1dYxUBdeaOcCWn0iV/Ujyzt+5LZdC3ZaGQQyz6NEo7TFxNvXOdMaUM9fZyXeAK3vprvwQhNQB+xYMHV6cnHyTV2xEfm0yDkCWnzP69d5k45/bZyEn/0LTUAdsGPBKv/XvpztWLkRCGjK99e59foBF15oAuqAfgumNlJmeZhoDALa9mP/Xud0E3vrPLsLLzQBdUDPBbv0aZkzBLTJx9f5tnkZkhsvtHMB5Sx854LNdR0bI7Cz8Im7Aurh66zuGbLXNnRr9i+0iwFlHGjnr/n2xgptHGgivIBeqjsxNYcWuPBCOxdQrkTqXLC5/k96jMCuREr02IX363U+6xhY4MIL7VxAuRa+tmCV42GNYXQ+6BjS4+frnOk47uvt63zZcvgz4cIL7VxAuRtTbcHiFSt7szWH0fmg46ocT1/nVNsye/w6xzvq9zpuOO/AC+1eQPP7B3bdD7T9R27rXrBk9MfLb613U/RB1401/HydU50D6b18nXdtUDvwQrsX0OZdqsuXYP43sBbqXuabZfmjef4/epRqTAJ4nROty+zt63wZVSUL69IL7WBAN39sfU5K5f9h2z/yRvcy3xxGni6z0h5Qf19npX2ZPX2dq5+V1wzo/F9oFwO6/Ul91Z2AuX+In1j3Mq+v1F3O7p98nWzeDOoIqL+v86Zzmf18naufldcS0Nm/0E4GFADmgIACgBABBQAhAgoAQgQUAIQIKAAIEVAAECKgACBEQAFAiIACgBABBQAhAgoAQgQUAIQIKAAIEVAAECKgACBEQAFAiIACgBABBQAhAgoAQgQUAIQIKAAIEVAAECKgACBEQAFAiIACgBABBQAhAgoAQgQUAIQIKAAIEVAAECKgACBEQAFAiIACgBABBQAhAgoAQgQUAIQIKAAIEVAAECKgACBEQAFAiIACgBABBQAhAgoAQgQUAIQIKAAIEVAAECKgACBEQAFAiIACgBABBQAhAgoAQgQUAIQIKAAIEVC0+PH83u+Vf15GD81MR/7AW3M4A5fRtmdb39x/8bH83WeVP11l/9x+CPXkrF9Hr6wvC/oioGiK37S1PJ0aeg/fLKUV3J7DGbg7oLGnxe/2DeiIJwnmEVA0rE+jWp5Mbe3JN66253AOegU06+aQgMbfffDN+tKgHwKKbXHX6nlaGXoHi8vQmMMZ+fG8OmfVUn7/tMznujugLf9HiR/xWfO7mAUCii1Xy2grT6dm3sA3S+EGaHMOZ6Q7oJvN7fOylP0DGn97pssKAoq628O4TQeH1bfs+vXinYlJnco2QFvmcE52BVT982HLt+8IKJug80VAvac6dfUoih6rU8DrT/txfh6/TcsVbwM+3NweRdHi6dfst+P38OJl/RTNzVKFLn4XP/i2/hQ/0N5b9UDn8Wbg/Zf579QfN/b9XH1j8fht+mP1gOvz+I8XBx+Lh82zMHoOt7RNbWuG2p6e3UuYWtUPUrb8n2VnQFeigLIJOl8E1HtxIT7lb/abZfbO30vCovKUfStPweXi6betc9zpWCOVl//3Oj8TkmwGFqc5th+3ejok2cpUD/h/8995lf9KPs3Rc7ilfWq1GWp7enYuYWZkQE9lAS3/X4OZIaDeO43uL7MSFHXKjiDG//5vr+st+J73rohAdq5c5eUv+e/+e/5X6Rt++3Frp5OfbbKzPvXqJNt7euZwW8vUtmeo7enZtYS5cQFVSyc4Blp9rjAvBNR78VZP9CDZnIvfh8ne6VqdDlZbQkmu1KZe/o1MLU/ZICb1x9Heh/RMSPpXV9lfNR5XfSPZ5f5ymG7xJUlbvIy3HM/yglW2qsbO4bbm1Boz1PX0dCzhAN0BvT7vcRa+qpzR07ZUYwYIqPdOi3fiqvgqfpfn+8vpd+KvKm/RWp5WaUJUXtLfXUWVr9QXjcddVfft1SOppGWPWDmPkm9tjZ3Dbc2pNWao7enZsYQDNAJa9yr/9qCAdm2aYmoE1HunUXmypkhQ+patROm0+pau5SkbxKTykr6Js7Ztilg0HreU/YZKWvb9eJpJGCp/NHYOt7VMbXuG2p6eHUs4wM6ALl4W3x4U0O2nFXNBQL13WslC8ZZMzm5X87Kq7qtW8/TjeXHMMvve9lfNx818//xzttMaP2DewWya1UmMnMOG5tQaM9Ty9OxYwiF2BHT/5Fv57SHHQOtPK2aEgHrvtLI1tbV9U3lf1t6i1Tylg5juCGhju2l9dZSfDuoT0FFz2NAW0K0Zanl6egVUehJJjYmqDIkioL4goN4rClE5w92ap3JTrZqny+yt3p2X5uPWvjUgoLI5bGgJ6PYMtTw9RgOazsHTysNsja+/M6Cchp8lAuq9ap623oU9tu+KG37sDOjW46Zbkvcfv/j1v54PDOjwOWxqTq0xQy1Pj+GAJn9a+XpreOir7LfZAnULAfXeafcJkR5HGIubqe3chd963MtiRP2PQQEVzWFTc2qNGWp5ekwdA31W+TrvY/3/FMX8ElDnEFDvFYVQJ6fr78/KmJ7T6s8qeVrl79zuvDQetxKwVdcufP0s/Jg5bGpMrTlDLU+P8YBWRleVp/lrC9kZUM7CzxUB9V5ZiPj9ea+81DIdJJT1sT48spKn0x7nqLcft+yVGpLeEdDaONAxc9i0I6D5DLU9PaYDWlmYyujTNKz5nT87Aso40LkioN6rFSK5QGfz/axy4fnBx/LCn0yZp3wQ0868NB73NN1jTm7HkXyj/bROeSXSiDls0ZxaY4Y6nh6zAa3sxKvlWpyoa6O+q3nKZqGzk1yJNFcE1Hv1wekF9b6O38b32wb3lHkq76W8Ky/bj1s71dIR0Nq18CPmcHt/eNM2tcYMlX9kM6D1S6S2FrXxzag6QpWT8PNEQL1X3XpZLWtvWXVuImvLXjUTZZ4ui/f/zrxsPe7mLG/VSXpUs21kZvVuTCPmsFdAGzM0TUCrO/GfyoFV+fVJnQHlEOhsEVDv1Xb/1sldMe+fpDfXTE7u3hw2bntZ5KlyL+Xdeak/7mZzdZT881t27rwtoNX7gcrncNMvoNszNFFAq2fis6H9i8pNVLsCejp0JmALAQ3ZtKNj+tyRvt8cXvp9hPAHd6SfLQIasmkD2uczkfrN4anfG2jckH6+CGjIJh6f3eNTOXvN4fq116dY2ACdMQIasokDGpfhrk3QXnN46fcgST4XfsYIaMimvkKwuE50x2/cPYfr//3yrl9x2c3S7yO8biOgIZs6oNnn1e0w+RxOrribC+aIgAKAEAEFACECCgBCBBQAhAgoAAgRUAAQIqAAIERAAUCIgAKAEAEFACECCgBCBBQAhAgoAAgRUAAQIqAAIERAAUCIgAKAEAEFACECCgBCBBQAhAgoAAgRUAAQIqAAIERAAUCIgAKAEAEFACECCgBCBBQAhAgoAAgRUAAQIqAAIERAAUCIgAKAEAEFACECCgBCBBQAhAgoAAgRUAAQIqAAIERAAUCIgAKAEAEFACECCgBC/x+/2T3Fn6iG1wAAAABJRU5ErkJggg==" width="672" /></p>
<pre><code>## [1] 0.7407206</code></pre>
<pre class="r"><code>fit_corr(&quot;Male&quot;, &quot;Female_biased&quot;)</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## [1] 0.4003524</code></pre>
<pre class="r"><code>fit_corr(&quot;Male&quot;, &quot;Equal&quot;)</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## [1] 0.5105895</code></pre>
<pre class="r"><code>fit_corr(&quot;Female&quot;, &quot;Male_biased&quot;)</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## [1] 0.8182067</code></pre>
<pre class="r"><code>fit_corr(&quot;Female&quot;, &quot;Female_biased&quot;)</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## [1] 0.6912791</code></pre>
<pre class="r"><code>fit_corr(&quot;Female&quot;, &quot;Equal&quot;)</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## [1] 0.7097008</code></pre>
</div>
<div id="testing-for-additive-genetic-variance-for-traits-figure-s2-table-s5" class="section level1">
<h1>Testing for additive genetic variance for traits (Figure S2, Table
S5)</h1>
<p>We used a similar approach to test if there was significant additive
genetic variance for various male and female traits.We generated null
distributions for additive genetic variance for traits using the Rscript
“randomise_traits.R”. This scripts does the following:</p>
<ol style="list-style-type: decimal">
<li>Load the comprehensive data set and select the data for fitness</li>
<li>Select data for the correct trait</li>
<li>Create a new “randomised” data set by randomly permuting the
elements of the “Family” column</li>
<li>Fit model and store mean of posterior distribution</li>
<li>Repeat steps 1-4 1000 times for each trait</li>
</ol>
<p>We then fit MCMCglmm models to our actual data and examine if actual
estimates (means of posterior distributions) of Va for each trait lie
outside the 95% credible intervals of the corresponding null
distribution obtained by randomising data sets.</p>
<pre class="r"><code># Load data

std = TRUE # Should traits data be standardised to have a mean 0 and stdev 1? (depends on whether using the null distribution that was generated using standardised data)

d = read.csv(&quot;Comprehensive_traits.csv&quot;, header = T)
d$Trait = factor(d$Trait)
# Make a list of all the traits  
list_traits = levels(d$Trait)

# Remove the names of fitness data.
list_traits = list_traits[grep(&quot;Fitness&quot;, list_traits, invert = T)]

# Load null distributions

d_null_trait = read.csv(&quot;null_distributions/trait_standardised_randomised_NULL.csv&quot;, header=T)

# If this dataset doesn&#39;t have a heritability column add it
# Ideally we should have a posterior mean estimate of heritability computed separately for each replicate randomisation
# If that&#39;s not done calculate the heritability from posterior means of va and vr

if(!(&quot;h2_trait&quot;%in%names(d_null_trait))){
  d_null_trait$h2_trait = 2*d_null_trait$va_trait/(d_null_trait$va_trait + d_null_trait$vr_trait)
}

# Create empty matrix to store data

trait_variation_data = matrix(NA, nrow = length(list_traits), ncol = 21)

# Loop through the traits

count = 1

for (trait in list_traits){
  
  print(trait)
  
  # Select data
  d_trait = d[d$Trait==trait,]
  
  # Standardise the data if required
  
  if(std){d_trait$Measurement = scale(d_trait$Measurement)}
  
  # Fit model
  
  prior_trait = list(R = list(V = 1, nu = 0.002), G = list(G1 = list(V = 1, nu = 2, alpha.mu = 0, alpha.V = 1000), G2 = list(V = 1, nu = 0.002)))
  
  fit_trait = MCMCglmm(Measurement ~ 1, random = ~ Family + Replicate:Family, family = &quot;gaussian&quot;, nitt = 500000, burnin = 50000, thin=300, data = d_trait, prior = prior_trait, pr=T, verbose = F)
  
  ### Store data
  
  # Actual estimates and CIs
  
  va_trait_true = mean(2*fit_trait$VCV[, &quot;Family&quot;])
  va_trait_true_l = HPDinterval(2*fit_trait$VCV[, &quot;Family&quot;])[1]
  va_trait_true_u = HPDinterval(2* fit_trait$VCV[, &quot;Family&quot;])[2]
  
  vr_trait_true = mean(fit_trait$VCV[, &quot;units&quot;])
  vr_trait_true_l = HPDinterval(fit_trait$VCV[, &quot;units&quot;])[1]
  vr_trait_true_u = HPDinterval(fit_trait$VCV[, &quot;units&quot;])[2]
  
  h2_trait_true = mean(2*fit_trait$VCV[, &quot;Family&quot;]/(fit_trait$VCV[, &quot;Family&quot;] + fit_trait$VCV[, &quot;units&quot;]))
  h2_trait_true_l = HPDinterval(2*fit_trait$VCV[, &quot;Family&quot;]/(fit_trait$VCV[, &quot;Family&quot;] + fit_trait$VCV[, &quot;units&quot;]))[1]
  h2_trait_true_u = HPDinterval(2*fit_trait$VCV[, &quot;Family&quot;]/(fit_trait$VCV[, &quot;Family&quot;] + fit_trait$VCV[, &quot;units&quot;]))[2]
  
  day_family_true = mean(fit_trait$VCV[, &quot;Replicate:Family&quot;])
  day_family_true_l = HPDinterval(fit_trait$VCV[, &quot;Replicate:Family&quot;])[1]
  day_family_true_u = HPDinterval(fit_trait$VCV[, &quot;Replicate:Family&quot;])[2]
  
  # CIs from null distribution
  
  va_trait_null_l = quantile(d_null_trait[d_null_trait$Trait==trait,]$va_trait, 0.025)
  va_trait_null_u = quantile(d_null_trait[d_null_trait$Trait==trait,]$va_trait, 0.975)
  
  vr_trait_null_l = quantile(d_null_trait[d_null_trait$Trait==trait,]$vr_trait, 0.025)
  vr_trait_null_u = quantile(d_null_trait[d_null_trait$Trait==trait,]$vr_trait, 0.975)
  
  h2_trait_null_l = quantile(d_null_trait[d_null_trait$Trait==trait,]$h2_trait, 0.025)
  h2_trait_null_u = quantile(d_null_trait[d_null_trait$Trait==trait,]$h2_trait, 0.975)
  
  day_family_null_l = quantile(d_null_trait[d_null_trait$Trait==trait,]$day_family_ran, 0.025)
  day_family_null_u = quantile(d_null_trait[d_null_trait$Trait==trait,]$day_family_ran, 0.975)
  
  # Model diagnostics
  
  if(diagnostics){
    plot(2*fit_trait$VCV[, &quot;Family&quot;])
    print(autocorr(2*fit_trait$VCV[, &quot;Family&quot;]))
  }
  
  # Add data of the current trait to the data frame
  
  trait_variation_data[count,] = c(trait,
                                   round(va_trait_true, digits=4), round(va_trait_true_l, digits=4), round(va_trait_true_u, digits=4),
                                   round(vr_trait_true, digits=4), round(vr_trait_true_l, digits=4), round(vr_trait_true_u, digits=4),
                                   round(h2_trait_true, digits=4), round(h2_trait_true_l, digits=4), round(h2_trait_true_u, digits=4),
                                   round(day_family_true, digits=4), round(day_family_true_l, digits=4), round(day_family_true_u, digits=4),
                                   round(va_trait_null_l, digits=4), round(va_trait_null_u, digits=4),
                                   round(vr_trait_null_l, digits=4), round(vr_trait_null_u, digits=4),
                                   round(h2_trait_null_l, digits=4), round(h2_trait_null_u, digits=4),
                                   round(day_family_null_l, digits=4), round(day_family_null_u, digits=4))
  
  count = count + 1

  
}</code></pre>
<pre><code>## [1] &quot;CD_female&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300    0.02809858
## Lag 1500   0.02245400
## Lag 3000   0.01091325
## Lag 15000 -0.01094038
## 
## [1] &quot;CD_male&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 300   0.029836078
## Lag 1500  0.039108104
## Lag 3000  0.008636944
## Lag 15000 0.011258445
## 
## [1] &quot;Female_fecundity_Female_biased&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300    0.049638124
## Lag 1500  -0.032955733
## Lag 3000   0.000203992
## Lag 15000  0.032911111
## 
## [1] &quot;Female_fecundity_Male_biased&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                    [,1]
## Lag 0      1.0000000000
## Lag 300    0.0471232349
## Lag 1500  -0.0241462788
## Lag 3000  -0.0008150674
## Lag 15000  0.0096683062
## 
## [1] &quot;Mate_fecundity_Female_biased&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300    0.032991079
## Lag 1500  -0.003332964
## Lag 3000  -0.007471498
## Lag 15000  0.017727609
## 
## [1] &quot;Mate_fecundity_Male_biased&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300    0.03621045
## Lag 1500  -0.03081595
## Lag 3000  -0.01281944
## Lag 15000 -0.06659331
## 
## [1] &quot;ML_female&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300   -0.008640679
## Lag 1500  -0.045715381
## Lag 3000  -0.031528106
## Lag 15000  0.002926171
## 
## [1] &quot;ML_male&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300   -0.002134451
## Lag 1500  -0.064740832
## Lag 3000   0.018095857
## Lag 15000 -0.009390683
## 
## [1] &quot;MR_Female_Female_biased&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300    0.013597387
## Lag 1500  -0.013773519
## Lag 3000  -0.005221693
## Lag 15000 -0.008367446
## 
## [1] &quot;MR_Female_Male_biased&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300    0.018231765
## Lag 1500   0.055113066
## Lag 3000   0.005597092
## Lag 15000 -0.004933027
## 
## [1] &quot;MR_Male_Female_biased&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300    0.07041259
## Lag 1500  -0.03375079
## Lag 3000   0.01167390
## Lag 15000 -0.02520214
## 
## [1] &quot;MR_Male_Male_biased&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300    0.04374906
## Lag 1500  -0.01417882
## Lag 3000   0.02070641
## Lag 15000 -0.01117111
## 
## [1] &quot;P1&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300   -0.049490113
## Lag 1500  -0.001819473
## Lag 3000  -0.074745862
## Lag 15000  0.060621530
## 
## [1] &quot;P2&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                    [,1]
## Lag 0      1.0000000000
## Lag 300   -0.0002968597
## Lag 1500  -0.0048557186
## Lag 3000  -0.0289051489
## Lag 15000  0.0299872318
## 
## [1] &quot;RML_female&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300   -0.026430314
## Lag 1500   0.007334446
## Lag 3000   0.010412551
## Lag 15000  0.024822523
## 
## [1] &quot;RML_male&quot;</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300    0.013563207
## Lag 1500  -0.014251419
## Lag 3000  -0.045279992
## Lag 15000  0.001219722</code></pre>
<pre class="r"><code>colnames(trait_variation_data) = c(&quot;trait&quot;,
                                   &quot;va_trait_true&quot;, &quot;va_trait_true_l&quot;, &quot;va_trait_true_u&quot;,
                                   &quot;vr_trait_true&quot;, &quot;vr_trait_true_l&quot;, &quot;vr_trait_true_u&quot;,
                                   &quot;h2_trait_true&quot;, &quot;h2_trait_true_l&quot;, &quot;h2_trait_true_u&quot;,
                                   &quot;day_family_true&quot;, &quot;day_family_true_l&quot;, &quot;day_family_true_u&quot;,
                                   &quot;va_trait_null_l&quot;, &quot;va_trait_null_u&quot;,
                                   &quot;vr_trait_null_l&quot;, &quot;vr_trait_null_u&quot;,
                                   &quot;h2_trait_null_l&quot;, &quot;h2_trait_null_u&quot;,
                                   &quot;day_family_null_l&quot;, &quot;day_family_null_u&quot;)
trait_variation_data = data.frame(trait_variation_data)

print(trait_variation_data)</code></pre>
<pre><code>##                             trait va_trait_true va_trait_true_l va_trait_true_u
## 1                       CD_female        0.0134               0          0.0439
## 2                         CD_male        0.1684          0.0257          0.3352
## 3  Female_fecundity_Female_biased        0.3722               0            0.85
## 4    Female_fecundity_Male_biased        0.1921               0          0.5671
## 5    Mate_fecundity_Female_biased        0.4328               0          0.9695
## 6      Mate_fecundity_Male_biased        0.0766               0           0.279
## 7                       ML_female        0.0325               0          0.0832
## 8                         ML_male        0.2872          0.1212          0.4906
## 9         MR_Female_Female_biased        0.1014               0          0.3437
## 10          MR_Female_Male_biased        0.2754               0          0.7314
## 11          MR_Male_Female_biased        0.2001               0            0.59
## 12            MR_Male_Male_biased        0.3025               0          0.7835
## 13                             P1        0.1426          0.0344          0.2615
## 14                             P2        0.2521          0.0881          0.4599
## 15                     RML_female        0.0367               0          0.1124
## 16                       RML_male        0.3275          0.1457          0.5398
##    vr_trait_true vr_trait_true_l vr_trait_true_u h2_trait_true h2_trait_true_l
## 1         0.9752          0.8937          1.0551        0.0135               0
## 2         0.8384          0.7665           0.916        0.1793          0.0315
## 3         0.4207           3e-04          0.9966        0.9072          0.0528
## 4         0.4695           2e-04          1.0665        0.6569               0
## 5         0.4122           3e-04          0.9774        0.9383          0.0579
## 6         0.4546           3e-04          1.1125        0.4907               0
## 7         0.9635          0.8859           1.054        0.0329               0
## 8         0.8969          0.8139          0.9766        0.2728          0.1264
## 9         0.5265           5e-04          1.1253        0.4665               0
## 10        0.4767           2e-04           1.032         0.729               0
## 11        0.4549           3e-04          1.0628        0.6917               0
## 12         0.514           2e-04          1.0757        0.7039               0
## 13        0.9234          0.8339          1.0101        0.1421          0.0464
## 14        0.8442          0.7513          0.9342        0.2558          0.0944
## 15        0.8701          0.7917          0.9452        0.0405               0
## 16        0.8651          0.7901          0.9544        0.3145          0.1707
##    h2_trait_true_u day_family_true day_family_true_l day_family_true_u
## 1           0.0445          0.0243             4e-04            0.0557
## 2           0.3363          0.0921            0.0344            0.1646
## 3           1.9974          0.4446             2e-04            0.9926
## 4           1.9426           0.482             4e-04            1.0904
## 5           1.9971          0.4326             4e-04            0.9935
## 6           1.9001           0.548             2e-04            1.1492
## 7           0.0832          0.0276             4e-04            0.0639
## 8           0.4377          0.0087             2e-04            0.0288
## 9           1.8773          0.4609             3e-04            1.0948
## 10          1.9626          0.4307             3e-04            1.0305
## 11          1.9522           0.492             2e-04            1.0778
## 12          1.9529          0.3902             3e-04            1.0066
## 13          0.2584          0.0159             2e-04            0.0483
## 14            0.43          0.0588             6e-04            0.1218
## 15          0.1229          0.1231            0.0664            0.1839
## 16          0.4971          0.0102             1e-04            0.0324
##    va_trait_null_l va_trait_null_u vr_trait_null_l vr_trait_null_u
## 1           0.0043          0.0211          0.9549          0.9968
## 2            0.005          0.0223          0.9318          0.9907
## 3           0.0477          0.2824          0.5826          0.9797
## 4           0.0479          0.2804           0.585          0.9795
## 5           0.0519          0.3454          0.7097          0.9966
## 6           0.0536           0.272          0.4574          0.9604
## 7           0.0043          0.0233          0.9586          0.9958
## 8           0.0051          0.0354          0.9721          1.0002
## 9           0.0518          0.3637          0.7447          0.9934
## 10          0.0512          0.3459           0.738          0.9931
## 11          0.0557          0.3487          0.6502          0.9985
## 12          0.0547          0.3725          0.7431           0.996
## 13          0.0059          0.0406          0.9675          0.9995
## 14          0.0064          0.0453          0.9708          0.9999
## 15          0.0045          0.0132           0.911          0.9709
## 16          0.0054          0.0415          0.9739          0.9997
##    h2_trait_null_l h2_trait_null_u day_family_null_l day_family_null_u
## 1           0.0044          0.0212            0.0056             0.043
## 2            0.005          0.0228            0.0122            0.0721
## 3           0.0489          0.2939            0.0366            0.4126
## 4           0.0492          0.2988            0.0377            0.3875
## 5           0.0497          0.3413            0.0253            0.2789
## 6            0.057          0.3077             0.053            0.5621
## 7           0.0043          0.0238            0.0065            0.0403
## 8           0.0051          0.0351            0.0042            0.0235
## 9           0.0503          0.3517            0.0242            0.2005
## 10          0.0497          0.3379            0.0252            0.2047
## 11          0.0535          0.3669            0.0232            0.3383
## 12          0.0527          0.3665            0.0245            0.2031
## 13          0.0059          0.0404            0.0047            0.0284
## 14          0.0063          0.0451             0.005            0.0218
## 15          0.0046          0.0139            0.0311            0.0914
## 16          0.0053          0.0413            0.0046            0.0197</code></pre>
<pre class="r"><code># Add columns that merge point estimates and CIs together (helps create Tables for the manuscript)

trait_variation_data$trait_names_for_table = c(&#39;Copulation duration in females&#39;,&#39;Copulation duration in males&#39;,&#39;Female fecundity (female biased)&#39;, &#39;Female fecundity (male biased)&#39;, &#39;Male effect on female fecundity (female biased)&#39;, &#39;Male effect on female fecundity (male biased)&#39;, &#39;Female latency to first mating&#39;, &#39;Male latency to first mating&#39;, &#39;Female mating rate (female biased)&#39;, &#39;Female mating rate (male biased)&#39;, &#39;Male mating rate (female biased)&#39;, &#39;Male mating rate (male biased)&#39;, &#39;Sperm defence ability (P1)&#39;, &#39;Sperm offence ability (P2)&#39;, &#39;Female remating latency&#39;, &#39;Male mating latency with mated females&#39;)

trait_variation_data$va_for_table = paste(trait_variation_data$va_trait_true, &quot; [&quot;, trait_variation_data$va_trait_true_l, &quot;,&quot;, trait_variation_data$va_trait_true_u, &quot;]&quot;, sep = &quot;&quot;)

trait_variation_data$vr_for_table = paste(trait_variation_data$vr_trait_true, &quot; [&quot;, trait_variation_data$vr_trait_true_l, &quot;,&quot;, trait_variation_data$vr_trait_true_u, &quot;]&quot;, sep = &quot;&quot;)

trait_variation_data$day_family_for_table = paste(trait_variation_data$day_family_true, &quot; [&quot;, trait_variation_data$day_family_true_l, &quot;,&quot;, trait_variation_data$day_family_true_u, &quot;]&quot;, sep = &quot;&quot;)

write.csv(trait_variation_data, file = &quot;Output/trait_vA_output.csv&quot;, row.names = F)

#################
### Figure S2 ###
#################

# Make plot of va

p_trait_va = ggplot(trait_variation_data, aes(y = as.numeric(va_trait_true), x = trait))
p_trait_va = p_trait_va + geom_point(size = 2) + theme_bw() + 
  geom_errorbar(aes(ymin=as.numeric(va_trait_null_l), ymax=as.numeric(va_trait_null_u)), width=.5, size =0.5, position=position_dodge(1)) + 
  theme(text = element_text(size = 15)) + 
  labs(x = &quot;Trait&quot;, y = &quot;Additive genetic variance on standardised scale&quot;) + 
  scale_x_discrete(labels = c(&#39;Copulation duration in females&#39;,&#39;Copulation duration in males&#39;,&#39;Female fecundity (female biased)&#39;, &#39;Female fecundity (male biased)&#39;, &#39;Male effect on female fecundity (female biased)&#39;, &#39;Male effect on female fecundity (male biased)&#39;, &#39;Female latency to first mating&#39;, &#39;Male latency to first mating&#39;, &#39;Female mating rate (female biased)&#39;, &#39;Female mating rate (male biased)&#39;, &#39;Male mating rate (female biased)&#39;, &#39;Male mating rate (male biased)&#39;, &#39;Sperm defence ability (P1)&#39;, &#39;Sperm offence ability (P2)&#39;, &#39;Female remating latency&#39;, &#39;Male mating latency with mated females&#39;)) +
  coord_flip() 

p_trait_va</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre class="r"><code>ggsave(p_trait_va,
       height = 5,
       width = 8.5, 
       file = &quot;Output/Figure_S2.jpg&quot;)</code></pre>
</div>
<div id="traits-figures-2-4-tables-s3-s4" class="section level1">
<h1>Traits (Figures 2-4, Tables S3-S4)</h1>
<p>Next, for each of the traits we measured (irrespective of whether the
trait was measured in males or females), we investigated the additive
genetic covariance between the trait and either male fitness (COVm) (at
male biased, equal and female biased sex ratios) or female fitness (at
male biased, equal and female biased sex ratios) (COVf). Sex-specific
Price-Robertson Identity predicts that the expected change in the trait
mean due to one generation of selection is equal to the mean of COVm and
COVf.</p>
<p>Plots are generated within “prc_analysis.html”, while numerical
output is stored within “PRC_output.csv” (for “non-sex ratio traits”)
and “PRC_output_sep_sr.csv” (for “sex ratio traits”)</p>
<div id="function-to-calculate-price-robertson-covariance" class="section level2">
<h2>Function to calculate Price-Robertson Covariance</h2>
<p>This function first identifies whether the trait is a “sex-ratio
trait” or a “non-sex ratio trait” (see Statistical Analysis) - Computes
within-sex and across-sex PRCs - Prepares plots - Stores outputs
(estimates of PRCs, estimates of heritabilities, etc.) within
“Output/PRC_output.csv” (non-sex ratio traits) and
“Output/PRC_output_sep_sr.csv” (sex-ratio traits)</p>
<pre class="r"><code>prc = function(trait, # Name of the trait
               diagnostics=FALSE, # print autocorrelation and time series plots? 
               d=d ){   # Comprehensive trait data)
  
  # Convert trait into a factor
  
  d$Trait = factor(d$Trait)
  
  # Divide fitness data by means to obtain relative fitnesses
  
  d[d$Trait==&quot;Fitness_Female_Equal&quot;,]$Measurement = (d[d$Trait==&quot;Fitness_Female_Equal&quot;,]$Measurement)/(mean(d[d$Trait==&quot;Fitness_Female_Equal&quot;,]$Measurement))
  d[d$Trait==&quot;Fitness_Female_Female_biased&quot;,]$Measurement = (d[d$Trait==&quot;Fitness_Female_Female_biased&quot;,]$Measurement)/(mean(d[d$Trait==&quot;Fitness_Female_Female_biased&quot;,]$Measurement))
  d[d$Trait==&quot;Fitness_Female_Male_biased&quot;,]$Measurement = (d[d$Trait==&quot;Fitness_Female_Male_biased&quot;,]$Measurement)/(mean(d[d$Trait==&quot;Fitness_Female_Male_biased&quot;,]$Measurement))
  d[d$Trait==&quot;Fitness_Male_Male_biased&quot;,]$Measurement = (d[d$Trait==&quot;Fitness_Male_Male_biased&quot;,]$Measurement)/(mean(d[d$Trait==&quot;Fitness_Male_Male_biased&quot;,]$Measurement))
  d[d$Trait==&quot;Fitness_Male_Female_biased&quot;,]$Measurement = (d[d$Trait==&quot;Fitness_Male_Female_biased&quot;,]$Measurement)/(mean(d[d$Trait==&quot;Fitness_Male_Female_biased&quot;,]$Measurement))
  d[d$Trait==&quot;Fitness_Male_Equal&quot;,]$Measurement = (d[d$Trait==&quot;Fitness_Male_Equal&quot;,]$Measurement)/(mean(d[d$Trait==&quot;Fitness_Male_Equal&quot;,]$Measurement))
  
  #### Identify if the trait is measured in a sex-ratio environment. If yes only analyse with two sex ratios (sr = 2), else sr = 3
  
  # List of traits measured at sex ratio environments (also exists prc_analysis.Rmd. If editing here, also edit there!!!)
  
  sr_list = c(&quot;Female_fecundity&quot;,&quot;Mate_fecundity&quot; , &quot;MR_Male&quot;, &quot;MR_Female&quot;, &quot;LA_Female&quot;, &quot;LA_Male&quot;, &quot;LA_P1_Female&quot;, &quot;LA_P1_Male&quot;, &quot;LA_P2_Female&quot;, &quot;LA_P2_Male&quot;, &quot;LA_P3_Female&quot;, &quot;LA_P3_Male&quot;)
  
  sr = ifelse(trait %in% sr_list, 2, 3)
  
  if(sr==3){
    
    # Standardise the trait data
    
    d[d$Trait==trait,]$Measurement = scale(d[d$Trait==trait,]$Measurement)
    
    
    
    ### trait and male fitness ###
    
    # Create a separate data frame containing the data for trait and male fitness
    
    d_maleW = d[d$Trait==trait|d$Trait==&quot;Fitness_Male_Equal&quot;|d$Trait==&quot;Fitness_Male_Male_biased&quot;|d$Trait==&quot;Fitness_Male_Female_biased&quot;,]
    
    set.seed(15081947)
    
    prior_maleW = list(R = list(V = diag(4), nu = 0.002), G = list(G1 = list(V = diag(4), nu = 2, alpha.mu = c(0,0,0,0), alpha.V = diag(4)*1000), G2 = list(V = 1, nu = 0.002)))
    
    fit_maleW = MCMCglmm(Measurement ~ Trait -1, random = ~us(Trait):Family + Replicate:Trait, rcov = ~idh(Trait):units, family = &quot;gaussian&quot;, nitt = 100000, burnin = 25000, thin=50, data = d_maleW, prior = prior_maleW, pr=T, verbose = F)
    
    # Female biased sex ratio
    cov_trait_maleW_fb = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
    cov_trait_maleW_fb_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
    
    # Equal sex ratio
    cov_trait_maleW_e = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Equal.Family&quot;, sep = &quot;&quot;)])
    cov_trait_maleW_e_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Equal.Family&quot;, sep = &quot;&quot;)])
    
    # Male biased sex ratio
    cov_trait_maleW_mb = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)])
    cov_trait_maleW_mb_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)])
    
    # Difference between male biased and female biased sex ratios
    diff_trait_maleW = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)] - 2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
    diff_trait_maleW_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)] - 2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
    
    ## Trait heritability
    
    h2_trait_m = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:Trait&quot;, trait, &quot;.Family&quot;, sep = &quot;&quot;)]) # The &quot;_m&quot; indicates that this is an estimate from the model which also had female fitness data
    h2_trait_m_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:Trait&quot;, trait, &quot;.Family&quot;, sep = &quot;&quot;)])
    
    ## Replicate effects
    
    rep_m = mean(fit_maleW$VCV[, &quot;Replicate:Trait&quot;])
    rep_m_ci = HPDinterval(fit_maleW$VCV[, &quot;Replicate:Trait&quot;])
    
    ### Diagnostics for model estimating RCs with male fitness
    
    if(diagnostics){
      
      plot(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)]))
      
      plot(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Equal.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Equal.Family&quot;, sep = &quot;&quot;)]))
      
      plot(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)]))
      
    }
    
    
    ### Trait and female fitness ###
    
    # Create a separate data frame containing the data for ML and female fitness
    
    d_femaleW = d[d$Trait==trait|d$Trait==&quot;Fitness_Female_Equal&quot;|d$Trait==&quot;Fitness_Female_Male_biased&quot;|d$Trait==&quot;Fitness_Female_Female_biased&quot;,]
    
    set.seed(15081947)
    
    prior_femaleW = list(R = list(V = diag(4), nu = 0.002), G = list(G1 = list(V = diag(4), nu = 2, alpha.mu = c(0,0,0,0), alpha.V = diag(4)*1000), G2 = list(V = 1, nu = 0.002)))
    
    fit_femaleW = MCMCglmm(Measurement ~ Trait -1, random = ~us(Trait):Family + Replicate:Trait, rcov = ~idh(Trait):units, family = &quot;gaussian&quot;, nitt = 100000, burnin = 25000, thin=50, data = d_femaleW, prior = prior_femaleW, pr=T, verbose = F)
    
    # Female biased sex ratio
    cov_trait_femaleW_fb = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
    cov_trait_femaleW_fb_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
    
    # Equal sex ratio
    cov_trait_femaleW_e = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Equal.Family&quot;, sep = &quot;&quot;)])
    cov_trait_femaleW_e_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Equal.Family&quot;, sep = &quot;&quot;)])
    
    # Male biased sex ratio
    cov_trait_femaleW_mb = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)])
    cov_trait_femaleW_mb_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)])
    
    # Difference between female biased and fefemale biased sex ratios
    diff_trait_femaleW = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)] - 2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
    diff_trait_femaleW_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)] - 2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
    
    ## Trait heritability
    
    h2_trait_f = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:Trait&quot;, trait, &quot;.Family&quot;, sep = &quot;&quot;)]) # The &quot;_f&quot; indicates that this is an estimate from the model which also had female fitness data
    h2_trait_f_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:Trait&quot;, trait, &quot;.Family&quot;, sep = &quot;&quot;)])
    
    ## Replicate effects
    
    rep_f = mean(fit_femaleW$VCV[, &quot;Replicate:Trait&quot;])
    rep_f_ci = HPDinterval(fit_femaleW$VCV[, &quot;Replicate:Trait&quot;])
    
    ### Diagnostics for model estimating RCs with female fitness
    
    if(diagnostics){
      
      plot(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)]))
      
      plot(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Equal.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Equal.Family&quot;, sep = &quot;&quot;)]))
      
      plot(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)]))
      
    }
    
    
    ################# PLOT #####################
    
    # Create a new data frame
    
    data_plot_trait = data.frame(&quot;Sex&quot; = c(&quot;Female&quot;, &quot;Female&quot;, &quot;Female&quot;, &quot;Male&quot;, &quot;Male&quot;, &quot;Male&quot;), &quot;Sex Ratio&quot; = c(&quot;Female Biased&quot;, &quot;Equal&quot;, &quot;Male Biased&quot;, &quot;Female Biased&quot;, &quot;Equal&quot;, &quot;Male Biased&quot;), &quot;Cov&quot; = c(cov_trait_femaleW_fb, cov_trait_femaleW_e, cov_trait_femaleW_mb, cov_trait_maleW_fb, cov_trait_maleW_e, cov_trait_maleW_mb), &quot;Cov_L&quot; = c(cov_trait_femaleW_fb_ci[1], cov_trait_femaleW_e_ci[1], cov_trait_femaleW_mb_ci[1], cov_trait_maleW_fb_ci[1], cov_trait_maleW_e_ci[1], cov_trait_maleW_mb_ci[1]), &quot;Cov_U&quot; = c(cov_trait_femaleW_fb_ci[2], cov_trait_femaleW_e_ci[2], cov_trait_femaleW_mb_ci[2], cov_trait_maleW_fb_ci[2], cov_trait_maleW_e_ci[2], cov_trait_maleW_mb_ci[2]))
    data_plot_trait$Sex.Ratio = factor(data_plot_trait$Sex.Ratio, levels = c(&quot;Female Biased&quot;, &quot;Equal&quot;, &quot;Male Biased&quot;))
    
    plot_trait = ggplot(data_plot_trait, aes(y = Cov, x = Sex, fill = Sex.Ratio)) + 
      geom_bar(stat=&quot;identity&quot;, color=&quot;black&quot;, position=position_dodge()) + theme_bw() + 
      geom_errorbar(aes(ymin=Cov_L, ymax=Cov_U), width=.2, position=position_dodge(.9)) + 
      theme(text = element_text(size = 15)) + 
      labs(y = &quot;Robertson covariance&quot;, fill = &quot;Sex Ratio&quot;, x = &quot;Selected sex&quot;) + 
      scale_fill_manual(values = c(&quot;#E5E5E5&quot;, &quot;#999999&quot;, &quot;black&quot;)) + 
      ggtitle(trait) + 
      theme(plot.title = element_text(hjust = 0.5, size = 15))
    

    return(list(plot_trait = plot_trait,
                cov_trait_femaleW_fb = round(cov_trait_femaleW_fb, digits=4),
                cov_trait_femaleW_fb_ci = round(cov_trait_femaleW_fb_ci, digits=4),
                cov_trait_femaleW_e = round(cov_trait_femaleW_e, digits=4),
                cov_trait_femaleW_e_ci = round(cov_trait_femaleW_e_ci, digits=4),
                cov_trait_femaleW_mb = round(cov_trait_femaleW_mb, digits=4),
                cov_trait_femaleW_mb_ci = round(cov_trait_femaleW_mb_ci, digits=4),
                diff_trait_femaleW = round(diff_trait_femaleW, digits=4),
                diff_trait_femaleW_ci = round(diff_trait_femaleW_ci, digits=4),
                cov_trait_maleW_fb = round(cov_trait_maleW_fb, digits=4),
                cov_trait_maleW_fb_ci = round(cov_trait_maleW_fb_ci, digits=4),
                cov_trait_maleW_e = round(cov_trait_maleW_e, digits=4),
                cov_trait_maleW_e_ci = round(cov_trait_maleW_e_ci, digits=4),
                cov_trait_maleW_mb = round(cov_trait_maleW_mb, digits=4),
                cov_trait_maleW_mb_ci = round(cov_trait_maleW_mb_ci, digits=4),
                diff_trait_maleW = round(diff_trait_maleW, digits=4),
                diff_trait_maleW_ci = round(diff_trait_maleW_ci, digits=4),
                h2_trait_m = round(h2_trait_m, digits=4),
                h2_trait_m_ci = round(h2_trait_m_ci, digits=4),
                h2_trait_f = round(h2_trait_f, digits=4),
                h2_trait_f_ci = round(h2_trait_f_ci, digits=4),
                var_trait = round(var(d[d$Trait==trait,]$Measurement), digits=4), # Just to check that this is 1
                rep_f = round(rep_f, digits=4), # Relicate variance in model with female fitness
                rep_f_ci = round(rep_f_ci, digits=4),
                rep_m = round(rep_m, digits=4), # Replicate variance in moel with male fitness
                rep_m_ci = round(rep_m_ci, digits=4))) 
    
  }
  
  if(sr==2){
    
    # Standardise the traits
    
    d[d$Trait==paste(trait, &quot;_Female_biased&quot;, sep = &quot;&quot;),]$Measurement = scale(d[d$Trait==paste(trait, &quot;_Female_biased&quot;, sep = &quot;&quot;),]$Measurement)
    d[d$Trait==paste(trait, &quot;_Male_biased&quot;, sep = &quot;&quot;),]$Measurement = scale(d[d$Trait==paste(trait, &quot;_Male_biased&quot;, sep = &quot;&quot;),]$Measurement)
    
    
    ### Trait and male fitness ###
    
    # Create a separate data frame containing the data for male mating rate and male fitness
    
    d_maleW = d[d$Trait==paste(trait, &quot;_Female_biased&quot;, sep = &quot;&quot;)|d$Trait==paste(trait, &quot;_Male_biased&quot;, sep = &quot;&quot;)|d$Trait==&quot;Fitness_Male_Male_biased&quot;|d$Trait==&quot;Fitness_Male_Female_biased&quot;,]
    
    set.seed(15081947)
    
    prior_maleW = list(R = list(V = diag(4), nu = 0.002), G = list(G1 = list(V = diag(4), nu = 2, alpha.mu = c(0,0,0,0), alpha.V = diag(4)*1000), G2 = list(V = 1, nu = 0.002)))
    
    fit_maleW = MCMCglmm(Measurement ~ Trait -1, random = ~us(Trait):Family + Replicate:Trait, rcov = ~idh(Trait):units, family = &quot;gaussian&quot;, nitt = 100000, burnin = 25000, thin=50, data = d_maleW, prior = prior_maleW, pr=T, verbose = F)
    
    # Female biased sex ratio
    cov_trait_maleW_fb = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
    cov_trait_maleW_fb_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
    
    # Male biased sex ratio
    cov_trait_maleW_mb = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)])
    cov_trait_maleW_mb_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)])
    
    # Difference between male biased and female biased sex ratios
    diff_trait_maleW = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)] - 2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
    diff_trait_maleW_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)] - 2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
    
    ### Trait heritabilities (The &quot;_m&quot; indicates that the estimates are from the model that also has the male fitness data)
    
    h2_trait_m_fb = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;.Family&quot;, sep = &quot;&quot;)])
    h2_trait_m_fb_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;.Family&quot;, sep = &quot;&quot;)])
    
    h2_trait_m_mb = mean(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;.Family&quot;, sep = &quot;&quot;)])
    h2_trait_m_mb_ci = HPDinterval(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;.Family&quot;, sep = &quot;&quot;)])
    
    ## Replicate effects
    
    rep_m = mean(fit_maleW$VCV[, &quot;Replicate:Trait&quot;])
    rep_m_ci = HPDinterval(fit_maleW$VCV[, &quot;Replicate:Trait&quot;])
    
    ### Diagnostics for model estimating RCs with male fitness
    
    if(diagnostics){
      
      plot(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Male_Female_biased.Family&quot;, sep = &quot;&quot;)]))
      
      plot(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_maleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Male_Male_biased.Family&quot;, sep = &quot;&quot;)]))
      
    }
    
    ### Trait and female fitness ###
    
    d_femaleW = d[d$Trait==paste(trait, &quot;_Female_biased&quot;, sep = &quot;&quot;)|d$Trait==paste(trait, &quot;_Male_biased&quot;, sep = &quot;&quot;)|d$Trait==&quot;Fitness_Female_Male_biased&quot;|d$Trait==&quot;Fitness_Female_Female_biased&quot;,]
    
    set.seed(15081947)
    
    prior_femaleW = list(R = list(V = diag(4), nu = 0.002), G = list(G1 = list(V = diag(4), nu = 2, alpha.mu = c(0,0,0,0), alpha.V = diag(4)*1000), G2 = list(V = 1, nu = 0.002)))
    
    fit_femaleW = MCMCglmm(Measurement ~ Trait -1, random = ~us(Trait):Family + Replicate:Trait, rcov = ~idh(Trait):units, family = &quot;gaussian&quot;, nitt = 100000, burnin = 25000, thin=50, data = d_femaleW, prior = prior_femaleW, pr=T, verbose = F)
    
    # Female biased sex ratio
    cov_trait_femaleW_fb = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
    cov_trait_femaleW_fb_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
    
    # Male biased sex ratio
    cov_trait_femaleW_mb = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)])
    cov_trait_femaleW_mb_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)])
    
    # Difference between female biased and male biased sex ratios
    diff_trait_femaleW = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)] - 2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
    diff_trait_femaleW_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)] - 2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
    
    ### Trait heritabilities (The &quot;_m&quot; indicates that the estimates are from the model that also has the male fitness data)
    
    h2_trait_f_fb = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;.Family&quot;, sep = &quot;&quot;)])
    h2_trait_f_fb_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;.Family&quot;, sep = &quot;&quot;)])
    
    h2_trait_f_mb = mean(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;.Family&quot;, sep = &quot;&quot;)])
    h2_trait_f_mb_ci = HPDinterval(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;.Family&quot;, sep = &quot;&quot;)])
    
    ## Replicate effects
    
    rep_f = mean(fit_femaleW$VCV[, &quot;Replicate:Trait&quot;])
    rep_f_ci = HPDinterval(fit_femaleW$VCV[, &quot;Replicate:Trait&quot;])
    
    ### Diagnostics for model estimating RCs with female fitness
    
    if(diagnostics){
      
      plot(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Female_biased&quot;, &quot;:TraitFitness_Female_Female_biased.Family&quot;, sep = &quot;&quot;)]))
      
      plot(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)])
      print(autocorr(2*fit_femaleW$VCV[,paste(&quot;Trait&quot;, trait, &quot;_Male_biased&quot;, &quot;:TraitFitness_Female_Male_biased.Family&quot;, sep = &quot;&quot;)]))
      
    }
    
    
    # Create a new data frame
    
    data_plot_trait = data.frame(&quot;Sex&quot; = c(&quot;Female&quot;, &quot;Female&quot;, &quot;Male&quot;, &quot;Male&quot;), &quot;Sex Ratio&quot; = c(&quot;Female Biased&quot;, &quot;Male Biased&quot;, &quot;Female Biased&quot;, &quot;Male Biased&quot;), &quot;Cov&quot; = c(cov_trait_femaleW_fb, cov_trait_femaleW_mb, cov_trait_maleW_fb, cov_trait_maleW_mb), &quot;Cov_L&quot; = c(cov_trait_femaleW_fb_ci[1], cov_trait_femaleW_mb_ci[1], cov_trait_maleW_fb_ci[1],  cov_trait_maleW_mb_ci[1]), &quot;Cov_U&quot; = c(cov_trait_femaleW_fb_ci[2], cov_trait_femaleW_mb_ci[2], cov_trait_maleW_fb_ci[2], cov_trait_maleW_mb_ci[2]))
    data_plot_trait$Sex.Ratio = factor(data_plot_trait$Sex.Ratio, levels = c(&quot;Female Biased&quot;, &quot;Male Biased&quot;))
    
    plot_trait = ggplot(data_plot_trait, aes(y = Cov, x = Sex, fill = Sex.Ratio)) + 
      geom_bar(stat=&quot;identity&quot;, color=&quot;black&quot;, position=position_dodge()) + theme_bw() + 
      geom_errorbar(aes(ymin=Cov_L, ymax=Cov_U), width=.2, position=position_dodge(.9)) + 
      theme(text = element_text(size = 15)) + 
      labs(y = &quot;Robertson covariance&quot;, fill = &quot;Sex Ratio&quot;, x = &quot;Selected sex&quot;) + 
      scale_fill_manual(values = c(&quot;#E5E5E5&quot;, &quot;black&quot;)) + 
      ggtitle(trait) + 
      theme(plot.title = element_text(hjust = 0.5, size = 15)) 
    
    return(list(plot_trait = plot_trait,
                cov_trait_femaleW_fb = round(cov_trait_femaleW_fb, digits=4),
                cov_trait_femaleW_fb_ci = round(cov_trait_femaleW_fb_ci, digits=4),
                cov_trait_femaleW_e = NA,
                cov_trait_femaleW_e_ci = NA,
                cov_trait_femaleW_mb = round(cov_trait_femaleW_mb, digits=4),
                cov_trait_femaleW_mb_ci = round(cov_trait_femaleW_mb_ci, digits=4),
                diff_trait_femaleW = round(diff_trait_femaleW, digits=4),
                diff_trait_femaleW_ci = round(diff_trait_femaleW_ci, digits=4),
                cov_trait_maleW_fb = round(cov_trait_maleW_fb, digits=4),
                cov_trait_maleW_fb_ci = round(cov_trait_maleW_fb_ci, digits=4),
                cov_trait_maleW_e = NA, 
                cov_trait_maleW_e_ci = NA,
                cov_trait_maleW_mb = round(cov_trait_maleW_mb, digits=4),
                cov_trait_maleW_mb_ci = round(cov_trait_maleW_mb_ci, digits=4),
                diff_trait_maleW = round(diff_trait_maleW, digits=4),
                diff_trait_maleW_ci = round(diff_trait_maleW_ci, digits=4),
                h2_trait_m_fb = round(h2_trait_m_fb, digits=4),
                h2_trait_m_fb_ci = round(h2_trait_m_fb_ci, digits=4),
                h2_trait_m_mb = round(h2_trait_m_mb, digits=4),
                h2_trait_m_mb_ci = round(h2_trait_m_mb_ci, digits=4),
                h2_trait_f_fb = round(h2_trait_f_fb, digits=4),
                h2_trait_f_fb_ci = round(h2_trait_f_fb_ci, digits=4),
                h2_trait_f_mb = round(h2_trait_f_mb, digits=4),
                h2_trait_f_mb_ci = round(h2_trait_f_mb_ci, digits=4),
                var_trait_fb = round(var(d[d$Trait==paste(trait, &quot;_Female_biased&quot;, sep = &quot;&quot;),]$Measurement), digits=4),
                var_trait_mb = round(var(d[d$Trait==paste(trait, &quot;_Male_biased&quot;, sep = &quot;&quot;),]$Measurement), digits=4),
                rep_f = round(rep_f, digits=4), # Replicate variance in the model with female fitness
                rep_f_ci = round(rep_f_ci, digits=4),
                rep_m = round(rep_m, digits=4), # Replicate variance in the model with male fitness
                rep_m_ci = round(rep_m_ci, digits=4)))
    
  }
}</code></pre>
</div>
<div id="standardise-trait-data" class="section level2">
<h2>Standardise trait data</h2>
<pre class="r"><code>d$Trait = factor(d$Trait)

# Make a list of all the traits to automate implementation of &quot;prc&quot;. 
list_traits = levels(d$Trait)

# Remove the names of fitness data.
list_traits = list_traits[grep(&quot;Fitness&quot;, list_traits, invert = T)]

# For traits measured at different sex ratios (eg, mate fecundity, mating rate) the sex-ratio suffix (&quot;_Male_biased&quot;, etc) has to be removed for the application of prc

list_traits = gsub(&quot;_Female_biased&quot;, &quot;&quot;, list_traits)
list_traits = gsub(&quot;_Equal&quot;, &quot;&quot;, list_traits)
list_traits = gsub(&quot;_Male_biased&quot;, &quot;&quot;, list_traits)

# This results in duplication of the names of traits measured at different sex ratios
# Selected only unique names

list_traits = unique(list_traits)

# Make a list of names of traits that should appear in plot titles

list_names = c(&quot;Copulation duration in females&quot;, &quot;Copulation duration in males&quot;,&quot;Female fecundity&quot;, &quot;Male effect on female fecundity&quot;, &quot;Female latency to first mating&quot;, &quot;Male latency to first mating&quot;, &quot;Female mating rate&quot;, &quot;Male mating rate&quot;, &quot;Sperm defence ability (P1)&quot;, &quot;Sperm offence ability (P2)&quot;, &quot;Female remating latency&quot;, &quot;Male mating latency with mated females&quot;)

print(cbind(list_names, list_traits))</code></pre>
<pre><code>##       list_names                               list_traits       
##  [1,] &quot;Copulation duration in females&quot;         &quot;CD_female&quot;       
##  [2,] &quot;Copulation duration in males&quot;           &quot;CD_male&quot;         
##  [3,] &quot;Female fecundity&quot;                       &quot;Female_fecundity&quot;
##  [4,] &quot;Male effect on female fecundity&quot;        &quot;Mate_fecundity&quot;  
##  [5,] &quot;Female latency to first mating&quot;         &quot;ML_female&quot;       
##  [6,] &quot;Male latency to first mating&quot;           &quot;ML_male&quot;         
##  [7,] &quot;Female mating rate&quot;                     &quot;MR_Female&quot;       
##  [8,] &quot;Male mating rate&quot;                       &quot;MR_Male&quot;         
##  [9,] &quot;Sperm defence ability (P1)&quot;             &quot;P1&quot;              
## [10,] &quot;Sperm offence ability (P2)&quot;             &quot;P2&quot;              
## [11,] &quot;Female remating latency&quot;                &quot;RML_female&quot;      
## [12,] &quot;Male mating latency with mated females&quot; &quot;RML_male&quot;</code></pre>
</div>
<div id="plots-panels-within-figures-2-4" class="section level2">
<h2>Plots (Panels within Figures 2-4)</h2>
<p>Numerical outputs can be found in the files “prc_output_sep_sr.csv”
and “prc_output.csv”.</p>
<pre class="r"><code># Analyse the traits recursively

#### Create empty tables to store output
# Traits measured in sex ratio environments vs traits measured without sex ratio environments have slightly different output terms
# Therefore need separate tables for them

output_table = c() # Output table for traits measured outside sex ratio environments (eg P1, ML, CD, BW, DT, etc.)
output_table_sep = c() # Output table for traits measured at female biased or male biased sex ratios (eg. Mate_fec, LA, MR, etc.)

# List of traits measured at sex ratio environments (also exists inside prc_function!!!!! If editing here, also edit there!!!)

sr_list = c(&quot;Female_fecundity&quot;,&quot;Mate_fecundity&quot; , &quot;MR_Male&quot;, &quot;MR_Female&quot;)

# Create an empty list to store plot objects
plot_list = list()
count = 1 # Just for indexing this list in the following loop

for (trait in list_traits){
  
  print(trait)
  prc_trait = prc(trait=trait, diagnostics=diagnostics, d=d)
  
  # Print plot
  #print(prc_trait$plot_trait + ggtitle(list_names[which(list_traits == trait)]))
  
  plot_list[[count]] = prc_trait$plot_trait + ggtitle(list_names[which(list_traits == trait)])
  count = count + 1
  
  ## Compile the output in a table
  # Traits measured in sex ratio environments vs traits measured without sex ratio environments have slightly different output terms
  # Therefore need separate tables for them
  
  if (trait %in% sr_list){
    
      current_output = c(trait, 
                       paste(prc_trait$cov_trait_femaleW_fb, &quot; [&quot;, prc_trait$cov_trait_femaleW_fb_ci[1], &quot;, &quot;, prc_trait$cov_trait_femaleW_fb_ci[2], &quot;]&quot;, sep = &quot;&quot;), 
                       paste(prc_trait$cov_trait_femaleW_mb, &quot; [&quot;, prc_trait$cov_trait_femaleW_mb_ci[1], &quot;, &quot;, prc_trait$cov_trait_femaleW_mb_ci[2], &quot;]&quot;, sep = &quot;&quot;), 
                       paste(prc_trait$diff_trait_femaleW, &quot; [&quot;, prc_trait$diff_trait_femaleW_ci[1], &quot;, &quot;, prc_trait$diff_trait_femaleW_ci[2], &quot;]&quot;, sep = &quot;&quot;), 
                       paste(prc_trait$cov_trait_maleW_fb, &quot; [&quot;, prc_trait$cov_trait_maleW_fb_ci[1], &quot;, &quot;,  prc_trait$cov_trait_maleW_fb_ci[2], &quot;]&quot;, sep =&quot;&quot;),
                       paste(prc_trait$cov_trait_maleW_mb, &quot; [&quot;, prc_trait$cov_trait_maleW_mb_ci[1], &quot;, &quot;,  prc_trait$cov_trait_maleW_mb_ci[2], &quot;]&quot;, sep =&quot;&quot;), 
                       paste(prc_trait$diff_trait_maleW, &quot; [&quot;, prc_trait$diff_trait_maleW_ci[1], &quot;, &quot;, prc_trait$diff_trait_maleW_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$h2_trait_f_fb, &quot; [&quot;, prc_trait$h2_trait_f_fb_ci[1], &quot;, &quot;, prc_trait$h2_trait_f_fb_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$h2_trait_f_mb, &quot; [&quot;, prc_trait$h2_trait_f_mb_ci[1], &quot;, &quot;, prc_trait$h2_trait_f_mb_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$h2_trait_m_fb, &quot; [&quot;, prc_trait$h2_trait_m_fb_ci[1], &quot;, &quot;, prc_trait$h2_trait_m_fb_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$h2_trait_m_mb, &quot; [&quot;, prc_trait$h2_trait_m_mb_ci[1], &quot;, &quot;, prc_trait$h2_trait_m_mb_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$rep_f, &quot; [&quot;, prc_trait$rep_f_ci[1], &quot;, &quot;, prc_trait$rep_f_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$rep_m, &quot; [&quot;, prc_trait$rep_m_ci[1], &quot;, &quot;, prc_trait$rep_m_ci[2], &quot;]&quot;, sep = &quot;&quot;))
    
    output_table_sep = rbind(output_table_sep, current_output)
    
  }else{
      
    current_output = c(trait, 
                       paste(prc_trait$cov_trait_femaleW_fb, &quot; [&quot;, prc_trait$cov_trait_femaleW_fb_ci[1], &quot;, &quot;, prc_trait$cov_trait_femaleW_fb_ci[2], &quot;]&quot;, sep = &quot;&quot;), 
                       paste(prc_trait$cov_trait_femaleW_e, &quot; [&quot;, prc_trait$cov_trait_femaleW_e_ci[1], &quot;, &quot;, prc_trait$cov_trait_femaleW_e_ci[2], &quot;]&quot;, sep = &quot;&quot;), 
                       paste(prc_trait$cov_trait_femaleW_mb, &quot; [&quot;, prc_trait$cov_trait_femaleW_mb_ci[1], &quot;, &quot;, prc_trait$cov_trait_femaleW_mb_ci[2], &quot;]&quot;, sep = &quot;&quot;), 
                       paste(prc_trait$diff_trait_femaleW, &quot; [&quot;, prc_trait$diff_trait_femaleW_ci[1], &quot;, &quot;, prc_trait$diff_trait_femaleW_ci[2], &quot;]&quot;, sep = &quot;&quot;), 
                       paste(prc_trait$cov_trait_maleW_fb, &quot; [&quot;, prc_trait$cov_trait_maleW_fb_ci[1], &quot;, &quot;,  prc_trait$cov_trait_maleW_fb_ci[2], &quot;]&quot;, sep =&quot;&quot;),
                       paste(prc_trait$cov_trait_maleW_e, &quot; [&quot;, prc_trait$cov_trait_maleW_e_ci[1], &quot;, &quot;,  prc_trait$cov_trait_maleW_e_ci[2], &quot;]&quot;, sep =&quot;&quot;), 
                       paste(prc_trait$cov_trait_maleW_mb, &quot; [&quot;, prc_trait$cov_trait_maleW_mb_ci[1], &quot;, &quot;,  prc_trait$cov_trait_maleW_mb_ci[2], &quot;]&quot;, sep =&quot;&quot;), 
                       paste(prc_trait$diff_trait_maleW, &quot; [&quot;, prc_trait$diff_trait_maleW_ci[1], &quot;, &quot;, prc_trait$diff_trait_maleW_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$h2_trait_f, &quot; [&quot;, prc_trait$h2_trait_f_ci[1], &quot;, &quot;, prc_trait$h2_trait_f_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$h2_trait_m, &quot; [&quot;, prc_trait$h2_trait_m_ci[1], &quot;, &quot;, prc_trait$h2_trait_m_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$rep_f, &quot; [&quot;, prc_trait$rep_f_ci[1], &quot;, &quot;, prc_trait$rep_f_ci[2], &quot;]&quot;, sep = &quot;&quot;),
                       paste(prc_trait$rep_m, &quot; [&quot;, prc_trait$rep_m_ci[1], &quot;, &quot;, prc_trait$rep_m_ci[2], &quot;]&quot;, sep = &quot;&quot;))
    
    output_table = rbind(output_table, current_output)
    
  }
  
 


}</code></pre>
<pre><code>## [1] &quot;CD_female&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.040183218
## Lag 250  -0.001078728
## Lag 500   0.024271935
## Lag 2500 -0.036304648</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50    0.0210524388
## Lag 250  -0.0001717066
## Lag 500   0.0202130862
## Lag 2500 -0.0016318872</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50    0.0310991095
## Lag 250   0.0036154217
## Lag 500  -0.0003901307
## Lag 2500 -0.0143926084</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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DMQaGjEnV2ftLKdB4F6BgINjbiz65NWtvMgUM9AoNtEtMentrgnrWznGe0PbzoKgZaTvW71NAg0HtLKdh4E6hkIdJuI9vjUFvekle0s493hTUch0HLy4lZ7s+YawhTo0jr862+XpJXtLAjUNxDoNhHt6/Cvv12SVrazIFDfQKDbRLSvw7/+dkla2c6CQH0DgW4T0b4O//rbJWllOwsC9Q0Euk1E+zr862+XpJXtHFO94UtPIdByMgJ1GtG+Dv/62yVpZTsHAvUOBLpNRPs6/Otvl6SV7RwI1DsQ6DYR7evwr79dkla2cyBQ70Cg5hHdZIxAdaSV7QzTneFJVyHQcjICHY2IQNcjrWxnQKD+gUDNIyLQ9Ugr2xkQqH8gUPOImZM3BSBQHWllOwMC9Y+FAp3oFU/WmwICjYe0sp1hpjP86CsEWk5GoKMREeh6pJXtNHN94UdfIdBysqhA1121J9WmXXhtgYZwu8o6pJXtNAjUQ9YSqPtOaKtAoPGQVrbTIFBH7G//uLq6+vX2o8WyngvUYLm2DgQaD2llO81sX3jRWaEJ9OZl1vLoreni2wl0UUcb3Q2AQOMjrWynQaDy3D/Jujz4ySxA/AI9/mayThGoV6SV7TQIVJy7s3xjPr8o+Tr/ZffcKEJkAi2KI9B4SCvbaRCoNJ+/PwrztTLhw1GoX/xmEgKBLmkWAt2KtLKdBoFKcz3QZa7UxyYhEOiSZiHQrUgr22kQqDD7F1nWP2C/y7KvTK7GWwpU+T00gc5ERKBekVa20yBQYY67m4Pjdd20KWQEOowyUM7SmqfbMVd0kUAnQyJQr0gr22kQqDA+CbQfJl6Blnc7zDZmpsCwJALVkVa2k8x3hRedFZBAj4fwu/5dS9scwiPQJVFGSma6OiRCx0Ba2U6yoCt86K2ABHq4HNgyPy360CQEAl3SLK1AZSyHQCdJK9tJEKg4n86OBn2nTLg/+nOwUzqJLt1COQh0ZCICXZO0sp0EgcpzXdw6f/HqKueX8k56o7uYEOiiZiHQrUgr20kQqAPen/Ue5dw9MwuwvkB1wphoHgK1Dh0DaWU7xcLtxXk71m+C05z2b1SF7p6avpEJgQ7CzEycEGg7BYEKkVa2UyBQV+xvrt5cXFw8vXpr8T47MYGOFziYCdTEdoM6thZopllgGgQ6SVrZToFAvUROoFMLqMYRE+igRgQaH2llOwUC9RIEOh11OBGBrkla2U6BQJ0h/UZ6BDo10b1AhydEZhsYLWllO8HCjti+v0ITqIM30q8iUN1pUd0vQgJtZiLQoEgr2wkQqBOcvJEegU5NFBWo0nEIVEda2U6AQF3g5o30PghUU2qm6bEINBt25nwDoyWtbCdAoA5w9Eb6eAWazYTsLaz1IQJdk7SynQCBOsDRG+nHBKpXnphAmxkjpWaajkBjJK1sJ1g+oty2Y4MGOMvI1RvpJQWqHjbPCjQ7TJUabbqyOAKNjLSyHWdxP2zeYQEJ1NULlWUFmin/V+Yg0CZYdxEEqpJWtuMgUAcg0MHiUgLtNAKBbkda2Y6DQB3g6o30CFRAoMvW+oxAR9ZOQqSV7TgI1AWXbt5IbyxQzU6TgEBr542tEc8FmulKaJboyjLL+gLtB9l8C1mVtLIdB4G6wPiN9JkGXanBwagbgQ7c0alwdYEOGnm6QOfWPQKdIa1sx0GgTjB9I723AlXMJinQapInAtVUPC1Q7W7s5lvIqqSV7TgI1A3u30gfmkA7C8wLtKvGXiOXCrT2XE+g/U7RaFfRZd24rkCH6W++haxKWtmOg0Ad4fyN9GkJNOs3QldqRKDdXjMSaNbORaAd0sp2HATqDrdvpN9GoPVcKYHWM9tqNPmPCjTrlkKg65FWtuMs74eteyw8gZ6EtUCzbulTBdrWaSPQpg4EGhlpZTsOAvWUEwWaZWIC7bhLI9BBSxFoAqSV7SgG3bB1jyHQkwTaOkct2BdoVYOpQDU+6tXhuUA1OSDQSdLKdhQE6ivTAm2230pASpFZgWbKv6sLVGmNXqB90bd5mwhUKT0r0Go5vUDrGVEKVPqTMwmCQNdC9ll4NwKt7bJMoO2PRgLtyVor0F5IK4FmTTVGAlUUGbdAHXxyJkFMumHjLkOgA4HWv28pUHW/st/0EwTaU5yUQJtWTwhU6Yx4BerkkzMJgkDXwo1AawEpRawEOnBibz+siTAjUMXH3Tq6Aq1bvUigHedtI1BFNGqT5teYr7j55EyCINDV+Ov2T5PiCFRJaTWBKsnGLFBHn5xJD6NeQKBr4rdAs07hxASqLjCzxjzF0Sdn0gOBesucQLMsVIHW8Y0FqhbtJqM0tukm1wLtxBhbY37i6pMz6WHWC9v2GQL1VqCtTFwJtGlGN+GTBdrLe4FA1d/m15ifuPpiQnogUKdI32enmiFkgTat9kCgTfvbHu1WikC1hJOtSxCoOxzcZycl0KG0hk6sC7chYhNor/1tJ3QrjVCgrj45kxyGnYBAl+PkPrueQFUV1Yu06hMVaFNL1yhjAm0Xr/8/UNGh85t7gSoJJS9QV5+cSQ4E6go399nNClRVn+q5Q9c5ogLtyKR2nLFAlRYd1BDDRiDQ0zH+5MyQgLJ1BwJ1hKP77OYFqpgiMIFmTemDGmLYCAQqgOknZ4aElK0zEKgjHN1nJyjQNs4BgbYTle5S2hWfQN18ciY5EKgbXN1nh0CHAu2X63UTAh3BxSdnkgOBusHVbSIIVFigSg6pCfTg4JMzyYFA3RCyQBWXjQt06BJnAu26SyfQuqOaXxCoOJmGrdvkAQjUDa7us7MWaPlfXWgVgdbuUgTak4+FQHsJI9C10KyFiLNdjGknbNppAQnU1X12eoE2vlMHtj8CzZr/9+SznkDVbskyBNrj5upXoxeFFQSbrSQI1BGO7rMbEWjWndgW3Vigrac2FGi3gW0jpgXabVecAi2fMK4uJj14PVe8R2jZOgGBusLNfXbLBNqqA4Ei0BHu8weN86fjLutkvjMLEFS2rkCgznBwn52y7fsq0GwdgfZmHnq/6LupLXOiQHshJ9aYv3wqh+fup7vj/7+5uMh/5UZ6U4z7AIEuR/4+O2XbtxZoRwmH9QXai9eZ0DTcL4FmWXwCzR/ryM6Px0UPnpRnlvY/8yinOQjULcL32SnbftwC7ehpmKmlQDv5Jy7Q/Em5d9V+6PNiSn6RkzfSG2LeB1v2WngCPYnh5qlu4dqNufvzpECVRQ5CAq2a5bNA1VabCHSM6TXmL82Tctft3SK8zs4cBOox/gq0V1CpA4GGQfNQx3EX9GF/2kLCydYdCNRjHAq0u8jBK4F2mzeosNu8OYEOa2xbjUDLHxCoNRZdgEBXA4EeBkW6zWvd1+khBDrLUZblFaP9fz7/D9Vx+3FnFIGagUClA0riRKCDZdoFPRWoDgR6KpfDK0bXvJHeFJsu2LDbEGiWaXfIhro5pC7QNrtejW2rkxbo3eCmpXu+C28MApUOKEn4Am2rWEOgw6UQ6Cj5ZfjsP7QX3Yublo0uwoeUrSsQqHRASVYTaMcdbS1KpU3ZQYR5gXYq6k8aCLTbCgTqjM9POt9MKD5BY/bVw5CydQQClQ4oyYoCHcbKMgS6gOk15jXHfc6uQB+8myitIahsnWDVAwh0LTwQ6GQd/ebUAq0lNFcRAvWI/X831GfQ2QqBQL0eArELdFAIgQZFWtnqsOuB7foNgWZ9L/U25u7PJwt0uo5+c9YWqFL60KkAga5CWtnqQKBeDwEEOmyv2jylNALdgLSy1YFAvR4CCHTYXrV5SmkEugFpZavBsgMQ6EpICFSdvYJA1R8QaOSkla0GBIpAx6KlKNDRtk8wvcbiJq1sNSBQBGoq0KGTND8i0CRIK1sNCDRygfZmRyzQbgUIdBXSylYDAkWgEQlUU9cg23mBjk0ZYXqNxU1a2WpAoLEJtLNha6QwnIpANcUQ6CLSylYDAkWgCFRTDIEuIq1sNSBQBCop0N40BBo5aWWrAYEi0IAF2lt+fFdY0wgEKkBa2Wqw7YDNOg6BTm7bCHR8bq8RCFSAtLLVgEARaMoC1TdiZMoI02ssbtLKdoh1/gh0HYQFqp3quUBHWodAfSCtbIcgUAR6ukDHFl64HAINl7SyHYJAEai5QJdwkngFBDo6DYFKkla2QxAoAkWg+kUR6ALSynaIff5b9RwCndy2uwId2dwXmiJygU4XQ6CLSCvbIQg0SIFObcxzqhgGQaDaRRHoAtLKdsAJ6SPQVUCgCNRn0sp2AAI9INDxWKMxFi48rNpiOQTqM2llOwCBHhDoeKzRGAsXHlZtsRwC9Zm0sh2AQA8IdDzWaIyFCw+rtlgOgfpMWtkOOCX9jboOgc5szHOqWBCkLjkaY+HCw6otlpMW6EhABGpFWtn2OSl7BLoGCBSB+kxa2fZBoEVE6YCSbC1QaxBoEqSVbR8EWkSUDihJVAJdEhGBBkVa2fZBoEVE6YCSIFAE6jNpZdsHgRYRpQNKYirQ+XvQl2sRgS5jeo3FTVrZ9jkt+236DoHObM1zCkCgy+pFoEtIK9seJyaPQFcgOYFaLINAtyOtbHsg0DKidEBJjAU6qwAEurCaw1yBZs7kGoubtLLtgUDLiNIBJTlJoAtNcXrJpQu7FuiiuUsFurjA9BqLm7Sy7YFAy4jSASXZUqDy1bipG4FuR1rZ9kCgZUTpgJIgUMuqxuciUEHSyrYHAi0jSgeUBIFaVjU+F4EKkla2PRBoGVE6oCQI1LKq8bkIVJC0su2BQMuI0gElCVagK9aNQLcjrWx7INAyonRASRDoqVEX1olArUgr2x4ItIwoHVASBHpqVATqkrSy7YFAy4jSASVBoKdGRaAuSSvbLqfmjkBXAIGeGhWBuiStbLucnPsmnYdATyQ+gYrUiUCtSCvbLgi0iigdUJK4BLoFCNQlaWXbBYFWEaUDSoJATwWBuiStbLsg0CqidECV/Zsfzr/914/N75+/z774zWB5BHoqCNQlaWXb4fTUEegsv58Vm9juaa1QBLo2CNQlaWXbAYHWEaUDtlw3G9lXlUER6NogUJeklW0HgdS36L2QBPrpuP/54PXt7c/5v6U2EejaIFCXpJVtBwRaR5QO2HBd73neP6kNikDXBoG6JK1sOyDQOqJ0wJr9iyx73v5YuDQ1gW6vawTqkrSyVZHIHIFOosoyN+jDAwJdHwTqkrSyVUGgTUTpgDUdWR5/yR4jUG9BoFakla0KAm0iSges6cry01m2+wmB+goCtSKtbFVEMt+g+wISqHIONOcuy754l5xAQzHoYfSXiWnVnMk1FjdpZauCQJuI0gEbrsvznsqvX/wPBOonCNSKtLJVQaBNROmADfl9oI/+bH+/LLY3PwS6ktgQaNykla0KAm0iSgdsyZ9EUn35c5ZtLtBZH4iCQOMmrWxVEGgTUTqgwvuzri+PvyNQL0GgVqSVrQoCbSJKB1TZf/jxY+f3n88QqI8gUCvSylZFJvP1+y8wgZ5KUALVxESgcZNWtioItIkoHVASBLoSCNSKtLJVEEocgS5gf/vH1dXVr7cf54sOQKArgUCtSCtbBQTaRpQO2OHmpbKpPXprujgCXQkEakVa2Sog0DaidECF/D12HR78ZBYAga4EArUirWwVEGgbUTpgy13xRY/zi5Kv8192z+cXU0CgK4FArUgrWwUE2kaUDtiQv4Fp91qZ8MH0NlAEuqAO+bgIdClpZauAQNuI0gEbrge6rF5qtxwEOl+HeFxtoxGojrSybZHKG4FO0HsbU8Fd+325RSDQ+TrE4yLQxaSVbQsCVSJKB6zRvbpu+9fZzfpANGYCAp1ZY3GTVrYtCFSJKB2wBoEi0NhJK9sWBKpElA5YczyE3/XvWuIQXr4OcRDoYtLKtkUs79U7MCCB5u//7Nmy/rbcYhDofB3iINDFpJVtCwJVIkoHbMhfqPzVO2XC/dGfg53SSZYK1NgrCHSiDgS6lLSybZBLG4FOkb9QOdtdvLrK+aW8k97oLiYEuqAOcRDoYtLKtgGBqhGlAyq8P+ttbbtnZgFWE6iEmBCoZo3FTVrZNiBQNaJ0QJX9G1Whu6emb2RCoPN1iINAF5NWtg0IVI0oHbDH/ubqzcXFxdOrtxbvs0Og83WIMy3Q/tyZNRY3aWXbIJj22j0YnkBPYhuBWlrqdIHOl0agXpFWtjWSWSNQQfRb81yJzua9WBJTv09GG5+5pkBdinRMoAft3ME6XG24eEBa2dYg0E5E6YD26LfmuRLV5m0oianfEai2YgQ6IK1saxBoJ6J0QEkQ6EgJg7jmfYNAl5JWtjUItBNROuAUrp6FR6CnBO0vMCXQwUqYWWNxk1a2NQi0E1E64BQIdBJjgS4Jj0DdkVa2NaJZr9yFCFRIElO/I1BtFFVK7AsAACAASURBVAQ6IK1saxBoJ6J0wEn+uv3TpDgCHSmBQL0grWxrEGgnonRASRYL1PSOdQQ6sQACXUpa2dYg0E5E6YCSINCREoICHcxHoItJK9saBNqJKB1QEgQ6UgKBekFa2dYg0E5E6YB99rd/XF1d/Xpr8Sg8Ah0rgUC9IK1saxBoJ6J0wA43L5Vt7dFb08UR6EgJBOoFaWVbIZs0Ap3g/klvM3xg9D56BDpaAoF6QVrZViDQbkTpgC13xctAzy9KihfS754bRUCgvTkI1CvSyrYCgXYjSgds+Pz9UZivlQkfjkI1uo8egfbnLBLoYeK3BZUi0MWklW0FAu1GlA7YcD3QZa5Uo48iabZPvQRkBLpkvw6BdhedW2NRk1a2FQi0G1E6YE3+DeP+Afup34VHoN1/Eei2pJVthXDS6/ZhQALVPfd+6rPwXgq0L7dOu05q1TDOpED1DbES6HAiAtWQVrYl0jkj0BEQ6CYCHdgPgbojrWxLEGgvonTAmuMh/K5/11KUh/CCAh3PT18XAt2WtLItQaC9iNIBGy4HtsxPiz40CSEhUO0cBDo+H4EuJq1sSxBoL6J0wIZPZ0eDvlMm3B/9OdgpnSQggWqb4EqgB21LD5nOfqcI9KCWQqAD0sq2BIH2IkoHbLnON7LdxaurnF/KO+mN7mKaEaiyeScl0LYjBv1xsBDo8M7OEYEeDhkC7ZBWtiXiOa/aiUEJ9PD+rLex7p6ZBdhOoKPxYhPooFdNBKpbQRbjJFjSyrbAgYEQ6Cj7N6pCd09N38i0oUBHXTYyRdsEXwXakSACtSatbAsQaD+idMAe+5urNxcXF0+v3lq8zy4EgR78FOghy3RlBtOaYG0dCHQpaWVbgED7EaUDSoJAezMQqFeklW0BAu1HlA4oyckCHRzQjlgFgSJQC9LKtgCB9iNKB9Ty+Yfzb4zew1SCQHutQaBekVa2BQ5SXrMXgxWo4TOcFQjUpUC7wRCoOWllm+MiYwQ6T8gCHatUschYEzwUaLEoApUhrWxzEOggonRALQh0CQg0MNLKNgeBDiJKB9SCQJcwK9CDLwJt/z+3xqImrWxzEOggonRALbEJtLcbNtaEoAXa6TsEqiOtbHMQ6CCidEAtCHSWwwkCPdTOPCDQNUkr2xwnGa/YjQi0p5Z6m7cTaM8y0Qn0kA3yR6CCpJVtDgIdRJQOqMUzgQ4OgScEqq00JIH22o9Au+xv/7i6uvr11uJJ4wCzPRUEOogoHVASC4EOigyl1AZaQ6BLJXqyQBu/LRCoUuTQJKA2OktDoDcvla559NZ08cCyFQCBDiJKB5QkDIEelH/6NSFQj7l/0uvrB0av+w4sWxEQ6CCidEBJ4hDoMoN6LNBDnAK9K961eH5RUrzve/fcKEJI2cqAQAcRpQNKMiNQRXLBC3R0Z3U7garVRCjQz98fhflamfDhKFSzM/UBZSsEAh1ElA4oiYFAB05UNv2Bq7YW6MikkARat3dujfnL9UCXuVKNvjkTULZCINBBROmAkjgXaHcpBNq0pF9NfALNPxHbP2A/+bPbseMmYQTqCgSKQF2hu7PO9G67cLIVAoEOI0oHlMRvgdbiQaATa8xbEKgFCHQYUTqgJAh0RqCq/JYLtG5yJ1hqAj0ewu/6dy1xCD8DAh1GlA4oCQJ1INC2bzvBUhPo4XJgy/y06EOTEAFlK4OjhNfrRwSq1ZAybxuBdhvXdVH7m6blnUlhCXRkBcms+RX4dHY06Dtlwv3Rn4Od0kkCylYGBDqMKB1QEgSKQN1xnWeyu3h1lfNLeSe90V1MQWUrgat8EagjEOjaAj0kJNDD+7NeX++emQUIKlsBEKgmonRASRDocoEe2v91WohAx9m/URW6e2r6Rqawsj0dBKqJKB1QkqQEOshv2BprgapVt33bCZaiQI/sb67eXFxcPL16a/E+u+CyPREEqokoHVASQYEq05XCCPSgxhgT6KFbQUwCNUCzciLOVoezfFfrSATaGbydYdy3VO2DwXSlMAI9qDEQ6BSalRNxtjoQqCaidEBJpAR6yHwR6KFboL8lDiYjUJ9JK1sEqo0oHVASBFr5z5lA21pTFOj+zQ/n3/5re/KTRzkncZcuAnWDvUDbf8IW6AGBuuP38hp8e/UdgU6CQHURpQNKEp1AO7LqJTPIoW3htECbnkKgRlw3nVI/0olAJ0GguojSASUZFeihqyFl3hYC7TVuVKB1oUMvZhtmUOMBgboif5Tzwevb25/zf0ttItBJEKguonRASbYUaFda7cJK/V0j2Qi0L7ZBjQcE6orres8z/7ZcaVAEOonDdNfqSQSqiMcLgWoa50qgyuII9GSUN9LnPxYuRaCTIFBdROmAkqwl0Pqfdlm1TKaCQHtZz6wxb1FlWb/HDoFOgkB1EaUDSuKRQLvKS0mgyqqIVaD15+QQ6CQIVBdROqAkawr0kMUr0EO/nqZcv9ZEBZpfUdr9hECnQaC6iNIBJfFXoK2oho3zTaC9trV92+m51ATa+yrnXZZ98Q6BToJAdRGlA0qyTKCdeQgUgS7juvv9jvwz8f8DgU7hMt2VuhKBKuI51G5U5yFQBLqM/D7QR3+2v18W3YBAx0GguojSASWZF6hSpqMkBKpmgkB15E8iqb78OcsQ6BQIVBdROqAkiQi05zkEuhLvz7q+zD/xgUBHcZotAnUBAj0gUIfsP/zYeQ/9/uczBDoKAtVGlA4oybYCPTS1qE5cLtAmAwQaKWQbRnCX1Xg9BNYT6OFwyBAoAjWDbMMI7rIar4eA/wLVNQ6BpgLZhhHcZTVeDwEhgSpyjFqgahoIdAXINozgLqvxegiICLQK5ESg2sYFKdD6HwRqQFLZuk0WgboAgR4sBdroEIE6JKlsEag+onRASYwF2hTZQqBt64YC1clqSqCKdDvWQqA+kVS2CFQfUTqgJOMCrSUxJ9A2EAJFoNIklS0C1UeUDigJAj30rIVAfSKpbB0nu05fIlDnAj0cutpxK9DuTHuBdvpsQqDDct02IVATksoWgeojSgeUJFWB9gq0i50oUF25bpsQqAlJZYtA9RGlA0riUqAHBIpATySlbF3nikAdEK9AuwZEoGGSUrYIdCSidEBJEGjTCUOBHrpt7abaF6gSuVeu23MI1ISUskWgIxGlA0oSokAPKwlUid3vs+UCHfQcAjUhpWwR6EhE6YCSyApUkRICVRuPQC1JKVvnua7SmQjUd4HWjYpXoJOjMCWlpJUtAh2JKB1QkkmBHuQF2peSuUCbRiHQBEgoW/epIlB5xAR6aHYwEeiwb5cIVF0GgVYklC0CHYsoHXCE/R9Xv36cL9YFgTadgEA9JKFsEehYROmAI3z+3uyDhwXWAlUEpcRCoPq+RaCWJJQtAh2LKB1wBASKQKMjoWxXSHWN3gxJoH/dqtwcBfr2+O+fJiEQaNMJg8UR6PYklC0CHYsoHbDmuMup47Tvbp8qUFVAYQm0m+ScQOuSCNQpCWWLQMciSges2VKgB0VQSqxUBKqmg0AdklC2CHQsonTAhvdnWba7qPnbWbb79vjvjyaX4oUFeugISBFZW0BQoGpQnUBbgyPQQEkoWwQ6FlE6YMv9iyx78K76ZdWLSE3JQazOnmETsS0gJ9CDGnQrgeryHPbtpEA1yyDQioSyRaBjEaUDqvx+3O38e/ljogJtpkch0OGiBrMiJKFsEehYROmAHe6fZNlXxU4oAo1HoBMkpJRDUtki0LGI0gG77P+ZZbtnBymBtl7ZRKCHLQQ6yL9uLALdmnSyDVNua9ThvNGfjjuhjz6GLNADAl1MOkrJSSfbMOW2Rh3uG73/+bgT+jpIgSqOQ6CLSEcpOelkG6bc1qhjjSGQ39D07VnIAj20ellRoCP5141FoFuTTrZhym2NOlYZAvkNTYb30BeMCfTQ2ENAoPXP4wJtwzsRqFIcgQZFOtmGKbc16lhpCPx+5qlA25+XCPTQmkhKoJ1qVhTooN0I1Jh0sg1TbmvUsdYQuP+H2UNIBYYCbUqoBbuxRAWqaVzTqFMFqjU0AvWLdLINU25r1OH1ELARaKMx3wTaD4NAgyeZbNdJdIVaAhTo/vaPq6urX2+Ndz8PCPQUgfZ+mxKo2jcI1IBkskWg4xGlA3a4eZm1PHprujgC1eVfNxaBbk0y2SLQ8YjSARXyBzk7PPjJLAAC1VfhTKBNYAS6hGSyRaDjEaUDttyd5RvtefU+u6/zX3bPjSIg0LEeUQQ6UqL32yKBtoER6BKSyRaBjkeUDtiQv1F591qZ8MH4ViYPBNqpuWmBtm3mAu0uqASfyL/9Vz8YEOh6JJMtAh2PKB2w4Xqgy1ypj01C6A9hVxRot2ZhgfYXVIJP5N/+i0C3JpVsV8oTgarsX2TZ8960uyz76qQ30iNQBOoRqWS7Vp7u6wlIoLq3h5i+UUQvkJQFqs5BoFuTSrYIdCKidMAaNwJtpiJQQYEqZRGoAalki0AnIkoHrDkewu/6dy2dfgjfTN1CoPW/sQu0bRECnSSVbBHoRETpgA2XA1vmp0UfmoTwS6BNeHcC7S2JQP0mkWxXSxOBqnw6q7+HVJG/1G6wUzrJnEAPuh9OEqgSYaQtCHQ2RjIkki0CnYooHbDlOt9mdxevrnJ+Ke+kN7qLCYEiUK9JJFsEOhVROqDC+7OsS/F5OQMQ6LAd7RwEujWJZLtems5rCkugh/0bVaG7p6ZvZEKgw3a0cxDo1iSSLQKdiigdsMf+5urNxcXF06u3Fu+zW0egg8oQKAJdRCLZItCpiNIBJQlSoMMIswIdq9sDgU4vMlN77CSSLQKdiigd0J5Mg77coWOGYZgmWH8pBDoBAjUlkWwR6FRE6YD2IND+ktOrG4FuTSLZItCpiNIBJUGgw3bMzUWg65FItgh0KqJ0wCmkn4XXlkGgut8QqAMSyRaBTkWUDjgFAvVeoN1mINBJEsl2xTRdV4VA66kIFIFuThrZrpklAp3mr9s/TYoj0GE75uYi0PVII1sEOhlROqAkPgq0rUBTZLlAF9V9ukDVNiBQadLIFoFORpQOKAkCHRadm4tA1yONbBHoZETpgJIg0GHRubkIdD3SyBaBTkaUDthnf/vH1dXVr7cWj8JvJ9DJtiBQ0zbFShLZrpokAu1y8zJrefTWdPFVBbq4LaMmik+gxiShlIYkskWg0xGlAyrcP8m6PDB6H31wAj0g0CSU0pBEtgh0OqJ0wJa74mWg5xclxQvpd8+NIiDQZS2an4pAXZBEtgh0OqJ0wIbP3x+F+VqZ8OEoVKP76BEoAvWaJLJFoNMRpQM2XA90mSvV6KNICHRZi+anIlAXpJDtujki0Ib8G8b9A3bp78JryyBQ/WQEKk4K2SLQmYjSAWt0z717/Sy8QasWCLS/AAKNkBSyRaAzEaUD1mwo0PL/Wwp0uAACjZAUskWgMxGlA9YcD+F3/buWVjmEryc7FKjhHAQaKSlku3KOjqsLSKCHy4Et89OiD01C+CnQcRBoCkppSSFbBDoTUTpgw6ezo0HfKRPuj/4c7JROEppAR0CgkZJCtgh0JqJ0wJbrfJvdXby6yvmlvJPe6C4mBGrRSgS6Hilki0BnIkoHVHh/lnXZPTMLIC/QVqRmLTkJBBopKWSLQGciSgdU2b9RFbp7avpGJkmBdmMi0OklEegSEsh27RQRaI/9zdWbi4uLp1dvLd5nl4xAu2WVX2wqG4uLQKVJIFsEOhdROqAkCNSmsrG4CFSaBLJFoHMRpQNKcqJAJ2KuOy4QaJwkkO3qKbqtMFSBfv7h/Buj9zCVRCTQ9kcEGg0JZItA5yJKB9Ri+gxnBQI9qa5eXAQqTfzZrp8hAtWBQNsfEWg0xJ8tAp2NKB1QCwJtf0Sg0RB/tgh0NqJ0QC0ItP0RgUZD/Nki0NmI0gG1bCHQyZgbCnSuKAINhuiz3SBBBKoDgWp+HCmKQIMh+mwR6HxE6YBaEKjmx5GiJ7YMga5H9NlukaDTOhHoAYEurqsXF4FKE3u2m+SHQOVAoCfV1YuLQKWJPVsEuiCidEBJYhHooPqp+Qg0GGLPFoEuiCgdUBIEKlYBAnVA7Nki0AURpQNKgkDFKkCgDog9WwS6IKJ0QEkQqFgFCNQBsWeLQBdElA4oCQIVqwCBOiD2bBHogojSASVBoGIVIFAHxJ7tNvm5rBWBHhCoVQUI1AGRZ7tReghUDAQqVgECdUDk2SLQJRGlA0qCQMUqQKAOiDxbBLokonRASRCoWAUI1AFxZ7tVdghUDAQqVgECdUDc2SLQRRGlA0qCQMUqQKAOiDtbBLooonRASVwIdNFsdyDQiIg6W283Eb9iez0EEKhYBQjUAVFn6+0m4ldsr4cAAhWrAIE6IOpsvd1E/Irt9RBAoGIVIFAHxJztdrkhUDEQqFgFCNQBMWeLQBdGlA4oCQIVqwCBOiDmbBHowojSASVBoGIVLBCoRDNiVsqQmLNFoAsjSgeUBIGKVYBAHRBztgh0YUTpgJIgULEKEKgDIs52y9Qc1o1ADwjUqgIE6oCIs0WgSyNKB5QEgYpVgEAdEHG2CHRpROmAkiBQsQrM/IlAFxFvtptmhkClQKBiFSBQB8SbLQJdHFE6oCQIVKwCBOqAaLPdNjEEKgUCFavAWKCitXvM/vaPq6urX28/WiwbXrYLQaDLI0oHlASBilVgKFDh2n3l5mXW8uit6eKBZbscBLo8onRASRCoWAUIdMj9k6zLg5/MAgSVrQkbJ+auegR6QKBWFSDQAXdneaecX5R8nf+ye24UIaRsTdg6LwQqBAIVqwCB9vn8/VGYr5UJH45C/eI3kxABZWvE1nkhUCEQqFgFCLTP9UCXuVIfm4QIKFsTNk8LgQqBQMUqQKA99i+yrH/AfpdlX5lcjQ8nWyM2TwuBCoFAxSpAoD2Ou5uD43XdtCnCydaE7bNCoEIgULEKEGgPBDrG9lkhUCEQqFgFCLTH8RB+179riUP4gx9JOWsDAj0gUKsKEGify4Et89OiD01CBJTtcnxICoHKgEDFKkCgfT6dHQ36Tplwf/TnYKd0koCyXY4PSSFQGRCoYAUItMd1cev8xaurnF/KO+mN7mIKKtvF+JAUApUBgQpWgED7vD/rPcq5e2YWIKhsF+JFTghUhggFOgcCXZH9G1Whu6emb2QKK9tleJETApUBgdoEMJ0hibf9Osb+5urNxcXF06u3Fu+zCy7befxICYHKgEBtApjOkMTbfhUg07B1m8TxIyUEKgMCtQlgOkMSb/tVgBQE6klGCFQGBGoTwHSGJN72qxPiy9aTjBCoDBMCnSmDQJfPkMTbfnVCdNn6khAClQGB2gQwnSGJt/3qhOiy9SUhBCoDArUJYDpDEm/71QnRZetLQghUBgRqE8B0hiTe9qsTosvWl4QQqAwI1CaA6QxJvO3XAfnr5zUk/To7b/JBoH3++sPmTmUEahPAdIYk3vbrAAQ6xJ98XLUkMIHe/FCMx/qJuQevZ5fogkBtApjOkMTbfh0y+Khx8gL1KB0EemT/shyP+WsWK74z2wtFoDYBTGdI4m2/asjHpdnbl/qElO0CPEoHgVbePAq0+Hd3cXGR74Yava8WgVoFMJ0hibf9qkP3XTkjgsp2Fp+yQaDF9xGy//ix/Lf4Q7//p8wLaxHodADTGZJ4269aTL+B1CesbOfwKRsEWnwy4XH178N2ksAnExDodADTGZJ426967k47iA8s2xl8ygaB5n/di93N+t+cT2cSH+1CoNMBTGdI4m2/6jkexJ+yCxpYttN4lQwCbQ6P1MMkmc/GItDpAKYzJPG2X0f4dHHxX+2XDi3bSfxKxlFrAhSo+kcegc6CQAMiqmz9SgaBNpc4L9tDeJnvbiPQ6QCmMyTxtl+dEFW2fiWDQPOPHha7m5/O6itHxjfeIVCbAKYzJPG2X50QU7ae5YJAi2flHuTf3b6ub2P6mduYZkGgARFTtp7lgkCPB+z5nfPfvLq9/efRpE9/eXmWyXx3G4FOBzCdIYm3/eqEmLL1LBcEeigO3nsY3nSHQG0CmM6QxNt+dUJE2fqWCgLN6X53W+plIovKINDFMyTxtl+dEFG23qXipkGBCfTIX79c/HB+5JsfX0m9zm5RGQS6eIYk3varE+LJ1r9MEKgACNQmgOkMSbztVyfEk61/mSBQARCoTQDTGZJ4269OiCdb/zJBoBX72z+urq5+vTU/gD9JoE6WWgEEGhDxZOtfJgg05+alcg3p0VvTxRGoTQDTGZJ4269OiCdb/zJBoJqPJjwwuo0egdoFMJ0hibf96oR4svUvEwRa3kifnV+UfJ3/sntuFAGB2gQwnSGJt/3qhGiy9TERJ20KSaD5o5w79c7PD2eG3+xCoFYBTGdI4m2/OiGabH1MJHmBXg90mStV4GUi5mWklloBBBoQ0WTrYyKpC1T3xS6Z19mZl5FaagUQaEDEkq2XeaQuUN3Lk2VeqGxeRmqpFTi5YQh0PWLJ1ss8ECgC3QIEuh6RZOtnGqkL9HgIP3j5J4fw7kGg6xFJtn6mkbpA828Y92yZnxYV+KyxeRmppUIAga5HJNn6mUbyAs3fBvrVO2XC/QuZN9Kbl5FaKgQQ6HrEka2nWSQv0Pw+pqMxL15d5fxS3kkv8UZ68zJSS4UAAl2POLL1NAsEenjffyP97plZAARqDgJdjziy9TQLBNp/I/3uqekbmRCoOQh0PeLI1tMsEGjB/ubqzcXFxdOrtxbvs0Og5iDQ9YgjW1+zcNGu8AR6EgjUHAS6HnFk62sWCNSQ/ic8s0WPNSLQLgh0PeLI1tcsEKghCFQCBLoeUWTrbRII9GQQqDkIdD2iyNbbJBDoAJ6Fdw8CXY8osvU2CQQ6AIG6B4GuRwzZepyDg6YhUKsyUkuFAAJdjxiy9TgHBDrgr9s/TYojUHMQ6HrEkK3HOSDQU0Gg5iDQ9YggW59TQKCngkDNQaDrEUG2PqeAQE8FgZqDQNcjgmx9TgGB5uxv/7i6uvr11uJReARqAQJdj/Cz9TsDB7oLTKA3L5Wnih69NV0cgZqDQNcj/Gz9ziB1gd4/6T2Y+cDoffQI1AYEuh7hZ+t3BokL9K54Gej5RUnxQvrdc6MICNQcBLoe4WfrdwZpC/Tz90dhvlYmfDgK1eg+egRqAQJdj/Cz9TuDtAV6PdBlrlSjjyIhUHMQ6HqEn63fGSQt0Pwbxv0Ddr4L7x4Euh7BZ+t7AuLtC0iguufeeRbePQh0PYLP1vcEEOj8tCkQqDkIdD2Cz9b3BFIW6PEQfte/a4lDePcg0PUIPVvv25+yQA+XA1vmp0UfmoRAoOYg0PUIPVvv25+0QD+dHQ36Tplwf/TnYKd0EgRqDgJdj9Cz9b79SQs0v4/paMyLV1c5v5R30hvdxYRALUCg6xF4tv43P22BHt6f9R7l3D0zC4BAzUGg6xF4tv43P3GBHvZvVIXunpq+kQmBmoNA1yPwbP1vfuoCPbK/uXpzcXHx9OqtxfvsEKg5CHQ9As/W/+Yj0NNAoOYg0PUIPNsAmi/dRARqVUZqqRBAoOsReLYBNB+Blnz+4fwbo/cwlSBQcxDoeoSdbQitR6Alps9wViBQcxDoeoSdbQitR6AlCHQ1EOh6hJ1tCK1HoCUIdDUQ6HoEnW0YjRduJQK1KiO1VAgg0PUIOtswGo9ACxDoaiDQ9Qg62zAaj0ALEOhqIND1CDnbQNqOQAsQ6Gog0PUIOdtA2o5ACxDoaiDQ9Qg422CaLtvQUAVqCQI1B4GuR8DZBtN0BHoCCNQcBLoeAWcbTNMR6AkgUHMQ6HoEnG0wTUegJ4BABUGg4gScbTBNR6AngEAFQaDihJttOC1HoCeAQAVBoOKEm204LUegJ4BABUGg4oSbbTgtR6AngEAFQaDiBJttQA1HoCeAQAVBoOIEm21IDRdtKwK1KiO1VNAgUHFCzTaodiNQexCoIAhUnFCzDardCNQeBCoIAhUn0GzDajYCtQeBCoJAxQk028CaLdlcBGpVRmqpoEGg4gSabWDNRqDWIFBBEKg4gWYbWLMRqDUIVBAEKk6Y2YbWagRqDQIVBIGKE2a2wbVasMEI1KqM1FJBg0DFCTLb8BqNQG1BoIIgUHGCzDa8RiNQWxCoIAhUnBCzDbDNCNQWBCoIAhUnxGzTbjMCtSojtVTQIFBxQsw27TYjUKsyUksFDQIVJ8BsswDbjEBtQaCCIFBxAsw2wCYjUGsQqCAIVJzwsg2vxTkI1BJ3qzvMgXQSCFSc8LINr8U5CNQSBCoIAhUnuGyDa3AJArUEgQqCQMUJLdsgryDliLUbgXof2VsQqDihZRtaexsQqB0IVBAEKk5o2YbW3gYEagcCFQSBihNYtsEewcv1NAL1PrK3IFBxAss2sOaqIFArEKggCFScsLINq7VdEKgVCFQQBCpOUNkGfAB/EOtqBOp9ZG9BoOIElW1QjR2AQG1AoIIgUHFCyjaktmpAoDYgUEEQqDghZRtSW3XItB+Beh/ZWxCoOCFlG1JbdSBQCxCoIAhUnICyDaipehCoBQhUEAQqTjjZhn0JPgeBWoBABUGg4oSTbTgtHQOBWoBABUGg4gSTbTANnUAkBwTqfWRvQaDiBJNtMA2dAIGag0BDI61+DSbbYBo6AQI1B4GGRlr9Gkq2obRzGoksEKj3kdMmrX4NJNvwL8EXIFBjEGhopNWvYWQbiT9FuhuBeh85bdLq1zCyDaOVC0CgpiDQ0EirX4PINohGLgKBmoJAQyOtfg0i2yAauQgEagoCDY20+jWEbKM5A3qQ6O9wBbq/+fVP44UQaGik1a8BZBuTPxMU6B9XV+/yf++fHFdktvu74eIINDTS6lf/s43KnwIdHpZA35/l2vzq4+Gu+KH82QQEGhpp9av/2frfQiPSEuh1Zc2Hn78/7n1eXHyd/2wUAYGGRlr96n223jfQlFMTCkmgn467nQ9e/XI8eP9blj3Op+RGfW4SAoGGRlr96nu2hYCviwAAFoZJREFUkR3AH07PKCSBXpZH7PsX7Y7npeEuKAINjbT61fNs4/PnyV0ekEBzcRa7m3fH4/efymnHnVKjs6AINDTS6le/s43RnwkJ9PP32Re/dX7o/LgIBBoaafWr19lG6c9Ts0KgQkQ5uDwgrX71OdssToGeaNCABHo8hC+P3I/H7RzCp0Ja/epttlms+jyc2OkBCbS5YnT8t7wIX1yG5yJS1KTVr55mG7M+D6f1ekgCvTuuxe9ub3/OsvN2X5TbmOImrX71MNvq3uutm+GSU9ILSaDFrmfx+NH/Oorz0dXVS+NHkRBoaKTVr35lmzVs3RLHnJBhUALd/1yszePeZ/1MktklJAQaHmn1qz/ZJiPPnBPSDEqgh8PNP86/eZrvc/5ePgz/yOxReAQaHOH16/72j6urq19vDYdmgQ/ZZkm5s8I62cAE2rL/4x8Xr4zfZ4dAQyOwfr15qfjn0VvTxbfNNkvSnSW2KQcrUDsQaGgE1a/lSxYVHvxkFmCzbFN2Z4Ft5gjU+8hpE1K/li9ZPL8o+bo4X290k4hhtprSyqTO3MnAOnkef6x/LX6s/usV7zExyzcO9ZnPJud28onr4EScD3g/zzGFtKGHRED9Wrxk8bUy4cOZ6VVOCYGOyGI0Rl2mNWQbqP0xfoGqfXHSOjgRtwPe23NMAW3oQRFQv14PdJkr9bFJCNON18Yb2qUPCLSbmps1tiiidEAFj88xBbShB0U4/dq8LUzhzvBG5QXZLlFDJ9aC4gh0tH8F1pghDgf82ueY/IicNuH0q+7FNtMvuxnZsGfLTGze0+dAxxZGoP2uml5S3+FCuBvwq59j8iNy2oTTryIC/Z8maIorkzpzpyMXc4//6y5dN6ec0c4ed8vELN+o8tD0jOFK+J/S48jdgF/9HBNsTzhrrHlbmIKDQ3jwioD2QFc6xwReEdAauxwMxnzIevK2MHBDQAI1P0QawgANjYDWWP5usK/eKRPuX2TDndJJAsoWChAoeE1Ia6x4xc3u4tVVzi/lVU6jM0xBZQs5AQmUc0wpEtQae3/Wu1Sxe2YWIKhs4RCUQDnHlCJhrbH9G1Whu6emT8uFlS2EJVDOMSVIcGtsf3P15uLi4unVW4tnjYPLNnlCEijnmBIkrTWWVrYxEJRAOceUHmmtsbSyjYGwBMo5puRIa42llW0MBCbQA+eYEiOtNZZWtjEQnkBPggEaGmmtsbSyjYGoBap7icDWbQIz0lpjaWUbAwgUvCatNZZWtjEQtUCHMEBDI601lla2MRC4QHkWPnbSWmNpZRsDCBS8Jq01lla2MYBAwWvSWmNpZRsDgQv08NftnybFGaChkdYaSyvbGAhdoIYwQEMjrTWWVrYxgEDBa9JaY2llGwPJCRRCY+sxsyZb9zWYIz4GpAP22d/+cXV19eutxaPwDNAAER9AHrN1X4M54mNAOmCHm5dK0x+9dVqXBWtu7ivWFWdVwSLYR4TaJNRkNQ5j3z/p2f+B0fvo3YNAA6oqWPyUAqGEqnEX+q54Gej5RUnxQvrdc3fVWYBAA6oqWPyUAqGEqnEW+fP3R2G+ViZ8OArV6D565yDQgKoKFj+lQCihapxFvh7oMleq2UeRHINAA6oqWPyUAqGEqnEVOP+Gcf+A3fS78K5BoAFVFSx+SoFQQtW4Cqx77t30WXjXINCAqgoWP6VAKKFqXAVGoJvVFWdVweKnFAglVI2rwMdD+F3/riUO4akqPfyUAqGEqnEW+XJgy/y06ENn9VmAQAOqKlj8lAKhhKpxFvnT2dGg75QJ90d/DnZKNwWBBlRVsPgpBUIJVeMu9HVx6/zFq6ucX8o76b26iwmBhlRVsPgpBUIJVeMw9vuz3qOcu2cOa7MAgQZUVbD4KQVCCVXjMvj+jarQ3VOfLiDlINCAqgoWP6VAKKFqHMff31y9ubi4eHr11jd7HhBoUFUFi59SIJRQNavU4ikINKCqgsVPKRBKqJpVavEUBBpQVcHipxQIJVTNKrV8/uH8G58eQapAoAFVFSx+SoFQQtWsUotvz3BWINCAqgoWP6VAKKFqVqnFU4ECAJwCAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCXcxwcAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALIlYoJ/OsudGC9y/PMuy3aN3p8Zxxo2+gTN4n1ZEjPS1fpbd6nTdqgK3g8OoPROFfSBegX7+PjMbBO+PKypn9/fT4rhi/3NW8dhkMd/TiomRvtbOslydjltV4nZwGLVnorAXxCvQy8xsENxlDZ3FTOM447JtoMEm531aETHW19pZdqvTdavatjkbHEbtmSjsB9EK9M6wz/M/ug+Oxwk3T7LON+xN4zjjeFSV5Qcy9y+Of45/WrqU92lFxFhfa2fZrU7XrSpxOjiM2jNR2BNiFWje8zODYP8i++pj89t1Vv12nKzsEiyIsxLHBj4sf7qc3GcJLK2IGOlr/aylq3PdVhW4HRymvTRW2BMiFeixv7/4LyYCPf5S7wcc9w2a6UvirMRl08C7ZtvTEVha8TDS1yOzlq7OdVtVTXY4OIzaM1HYFyIV6PEv1/NrZRDs358f/6h+87q3vtpVcvyrW/+irLVBnA3RbXERpBUPI309MmstgZq1Ksft4DBqz0RhX4hToMc/V48PyiD4VF3KK86n1HRMo47iy2bBfpwt6RzzlQ2KIa140Pf12CzN6vSgVQfng8OoPROFfSFKgZYOuVbHRI1yJrpvmuYUS7NgP86m5GemiqsOL+vzQlGkFQ/avh6dNVydPrTK/eAwas9EYV+IUqDl4VHT48WlvNf5Ae+ZerTUMY26eprV1ouzMfdPal0+aK9Qhp9WNGj7enxWf3X60Srng8OoPROFfSFGgVZd3fT+XfM3/uicfHgoN5fl9EdMvar6cbYmv+Ml51GZTCxpxYKpqnqr049WOR8cCNR76jPPTe+35+urtbDMNIM4G3PdNvhZ/nskaUWDoar6q9OLVrkfHAjUey6rM4J17yuX8vLThg+XmqYfZ2PyDe67Pw+Hv34ub9KLJK14MFNVf3X60Sr3gwOB+k7T6YpAVdT73aZOFg7ibIvyePL74qJRHGkFTrMSjn+tjNQwWJ1etGqFwYFAPafcGcupe1+5WD1umsH1vmGcbRnc0RFHWoGjqsr0+rK7G3RsW7XG4OAqvOdcZ10ejz7DMH3D5DDOtqjj5zqetAKnp6rldzgOVqcPrVpjcHAfqOcMB8FxOGkPkaYf2fHNNIOjmTjSigijZ2xWOzg1adUag4MnkTxnOAjy9xDo/nZNPzTum2kGf4zjSCsijJ7yXm3fyqRVawwOnoUPBvWM+BfvmmnNqFj02qKDLydf8lOeVTPumivs4acVE+N9PZw1XJ0+tEqd42pwGLVnorAnpCDQ/JTQ7tnH8paRsbFaPNfzVvfmQU9Mk7/ktrnvJd97iSOtiBjva82swer0olU1DgeHUXsmCntCCgLt3CA5+mds9N3XnphGvW2pfPgvirRiYtDX1SNiI7N6q9OHVtW4HBxG7eGN9NuhDIK75paficOA30e+vuKLafYv6iTqQ/Qo0oqJfl+3ahiuhuHq9KFVFU4Hh1F7xlroC2kI9LB/k78488unf04tMPL9P39Mc/ND0cC3zYQ40oqIXl8ratB9lbO/Or1oVYHbwWHUHr7KCQAQJwgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgdnz+PvvqY/nj/WubAOVS+xfZF7/JtQrccZ11VtVdlj02DfH5+zbCcc03PK+m3b88y7Ldo3ftEsMpE82rOX/6p2nLDp0RrWEwUNvizUje/WRR7WEyyQU9sn9zfsz5S7XM/n0+6fxZ2T6lZ3LUtfbprOl7WxCoHc342f9sviG1SyHQYMi3w4ftrxYC7azs4wDqC/T9Wfnr7u91oeGUyeY17J4ZNu1gLVBlJFsKdCLJBT1ST8iy7+oyn+pJD4oWjws0XwcIdBua4WazJ9IuhUCD4VrdV7RZ7/tLdR/2Ttmmn/enPB+Umd3Oe5ow94KlQJWRbCfQiSQX9IjajdWft8afWdnCcYFeWnVUFwRqh5BAIRiK7bAjQLM1WByzt8tf97fdfHfowfE49OZJXWw4Zbp5Vbz9hyfZlAtHmBboaPFTBTqR5IIeKSa8PZRTyvrzSfke+P7N2WAVXfcPIhDoViDQ1LhW93LM1+CHs66AL/u6uK6tl5v2sX7KdPMaFxwHp7nMNhLoRJILeuSuWSP5lIdVmapn7/p/R7oTypMoCHQbEGhqHDfMb8/aDc5sDd4fd5CyR09aaR639+7GrQjoeAyazxtOmWle64JLCzFsI9CJJJf0iJLosEy/Sd2/K/lJif+CQLeiGj/1KZhiNZQX/755XY2Cy2OJD18fJ+TXB/8qrhXuvimuWLZLtaeW9h9+UBYupu/ffK1ecCzDf2l1iRVO5miox8qV+L5A1ZNxWdaXyXV+WKmeRzyOn4edEoq/qg1/OGWmeapA6+KdcacdVof7l8dfv/tYVtcs2dqmaGrb9k7xzkg+ln//teZ6+lTXTCRp2CPVzKNHux3bctlZZXmHDc6jmINA7dAItL34Vw6go0Df1wOmPZHdXaoZl8UuSrtwPv3/P1OCq+fG2XfdglygzXGisUCPyulciDkWf35f/slsJjQbfrlfNZwy0zz1EP6r/i085SXz4bCqi3z178VC13Vad5nykzJQu8W7Av23yyr5blunumYiScMeabfIke2jewB/3JweD09Em4NA7RgKVLn4Vw61y+zLYtLD7oXAxzqBKje1FL+rdwmWI05z2wusSaGWT81BvJlA/6r19VsTbfe3quijwamg61oXvSkzzVMuIlXV98adZli1Rf6PYkQ3O3DtXVvF2dq67b3iXYF+3d0AlnTNRJKGPVLZtZhe3Cz6Zfderu4+a3kKBYFuxuAcaHE98HV+oH1Wjbz8z/FX7+p53+VH3jf19dH+bUzHsrunH8srhw8P1UjfPfuY32ZXFr2uLjfev7C5xAonU+6bNQfxJ94HeqkYpb7ZptmW7+qqelNmmtdSHQMNxt1wWNXXtYvbKb9q95KLkkXDypFeTe8X74zkKvQ/M4OumUjSrEfqUw75OYi6Lx781g2nHNtf1geGCHQbBgJtDxDaVVlPuVPvUSvGZ0+gx8nVX8fqp3w4VhtbteKbQxZuHd2GUqDNBeHTBJqHyf9iFmcU6z+QcgKtbqQfjLvhsGqua+f71vlP180Bz0X5U3GsW7d9ULwj0C/eqaEXISXQ/Cbbarel2bXv7Al3ryDdDTvdEgRqx0Cg7Xn7etKlZtAfF9MJVBlyl93ttLm6eF3vzsI2VGcH6791pwlU2ZyrfVpRgQ4MVo27wbBSjmsrN5a+PFaYnyx9fqiNWrZ9WLwj0O6IXYSQQJuHFMqTFPllrL9+7nSDev602XoR6Gb0BareBFKdRxqc5v7rj3+cZVqBdu/GeKi7YaM4kbT79l85et+I+vLKdTZzsWIU/bFDvsk/FxFofQ70pt6rrWjH3WBY1X/Qmwn1QL4uLhM9bO63Kts+LK67jWl9gRY79D/VP9Uz7pTzrd0zoPVNuAh0MzQCVSnvUWtX2f7DD/U1Jo1A1bU72DOoh2N91mzHfUybcN3d1TK7iHSoltSdfLkekYOtQA/KmdreuNMJtHZd/WN9zehxcR9evUfaCLRffIFAp7pGRKD3T9qol8olguFdor3ICHQz+gJVrsFrBKrO1QtUvUFQL9DiAlMJ9zFtQHODT3kQLyfQu4GQT7sKf2jfktEfd4NhpXhFMeLz/Jfn5cH7XblE2XZ98VMEKnEVPr+i1VwvUk+cKeWvlcntraIIdDM0Au0ftrQCLXdPv/zmx1f/rj0HumgP9MiHlxh0M9pNsDiIdyBQsftA69MCg3G3ZA/0+O/j/BTob+XL3i7bO0hd7IEK3Aean/39Tt271Ai0cwTfO1182taEQO3QHML3N45L9YR7e2PJzDnQcpCMDse/fnmZcR/TFlyrW2P2WOwcaKU+0SeR2vOq3XG34BxoedLzspr5sH5iytU50NOfRPq5q0BVsu0q6x/BI9Ct6Qu0GrIqjUCVkXGnv4ikuwrfHY7dK7jcx7Q+yq5NfhD/LycJVAlWXZAXfRa+jDkcd7phpezIlXUcj9z/7UV1H0n+LN3ztu2a4icK9MRn4cuHZFXt1jcKHg69vdR2bSFQDxjcxnTd3AZXry2NQO+/1wtUdx/o8LUJj5uqEej6qNvgtdWGpwi03cybGxgXvHtopnn9i0jDcTccVk0d+eF+c4vn/93cwfS3+mpU7z7QpviJAp1KckmP3LWbXUXen2Xt79sbQS/1e/CcA90MVaD1qaPiQYzi/rPmmYiy8GV5KFVeBqrvIlROLXWfRNL/rc1PJDVPlSy+TxnEUAVanlw89Ub6fLR032OZP2vWe/vlW+P3gbY35w/G3XBY1XV8aB4tKu8EKuorrkE9VNs+LK6MZCuBTiS5oEc0L+7LG52X+Us5th97+ASBbkYj0PJC5/PuqfLerfWds+j14x3ZzLPwY7cxZQu2JpCncxR4d6JAO9fH29sWa8bevz7dPJX6OKc77jTDqinzfzUnGC8zZaeg9/zboLgykq0EOkyyleJ8j3Sz7j3d314rGHtVHwLdjPabSC/qbeCud5uRctjwc72Gn1Ynkeqlmm1q+DamwW1MzYsgHlh+vAtOoSPQQjInXUT6VK/w9ns/vw++ADScMtU8hequnv6401mu+qhQ9XqlnDtlCDdnGuq294srI9lOoIMklb3KuR5ptwlFoE2Z6jUtEy1CoJvR/k3b5wdMxQetqu8D1je6q+ddipd9fvn0Y3ORsFqq3abq94GW5bXD8SZ/x0z7vlFYla5A852z067C76sxoTwWIfRVzi8fva2n9saddljldTQv+Kxza240b1/43rwPtFu8HcmWAu0nqR6Wz/RI7/GV9iWo+WtJv2l6YfQloQgUAGA7ECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABL/jcnkp2m9ysqDQAAAABJRU5ErkJggg==" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.034626955
## Lag 250  -0.004078032
## Lag 500   0.019019163
## Lag 2500 -0.046909154</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50    0.0364629882
## Lag 250  -0.0025790765
## Lag 500   0.0001084232
## Lag 2500 -0.0405630959</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.02522840
## Lag 250   0.01967233
## Lag 500   0.01841104
## Lag 2500 -0.06926996
## 
## [1] &quot;CD_male&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.02767444
## Lag 250  -0.03717339
## Lag 500  -0.01374262
## Lag 2500 -0.02439237</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.01918740
## Lag 250  -0.01200596
## Lag 500   0.02492722
## Lag 2500  0.01510100</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.034494474
## Lag 250  -0.028556506
## Lag 500   0.002205069
## Lag 2500  0.016427173</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.001644038
## Lag 250  -0.056303973
## Lag 500  -0.008974445
## Lag 2500  0.009085829</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50    0.0033532532
## Lag 250  -0.0460626546
## Lag 500   0.0037981050
## Lag 2500 -0.0005389093</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.027712969
## Lag 250  -0.008324017
## Lag 500   0.014721397
## Lag 2500 -0.002927614
## 
## [1] &quot;Female_fecundity&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0    1.000000000
## Lag 50   0.014213832
## Lag 250  0.003814941
## Lag 500  0.032294684
## Lag 2500 0.037805817</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.00481789
## Lag 250   0.01282553
## Lag 500  -0.02198423
## Lag 2500  0.02392691</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.019078759
## Lag 250  -0.035569218
## Lag 500  -0.005074781
## Lag 2500 -0.031236274</code></pre>
<p><img role="img" 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i3QLghUGjKjdiXMbBFoP8IFqvxS5ygQqDRkRu1KmNl2ogozTC9IF6glCFQaMqN2Jchsu0EFGaYfEOim2w0tBntkRu1KkNkiUAMIdNPthhaDPTKjdiXIbBGoAYECPV79fn5+/suVzYuUSxCoNGRG7UqQ2WqCCjJOL0gT6OUb5Zakx+9tF0eg0pAZtSshZquLKcQ4/SBLoLfPWnd13rN7HahturOtnRAGXAgx2CMzaldCzBaBmhAl0OvsbcqPTnMeph8Or6xqsBboTNmEMOBCiMEemVG7EmK2CNSEJIFmb6B/q0z4tPRPeiBQ78iMOo6//H7+3v4sfYjZIlATkgR60dHl0j8qh0C9Iyvqy+f5r3W9y3955t7bwSWaBJitPqQAA/WDIIEeX0dR+4B94Z81RqDekRT18U3+FZ+O1ILv7PZCA8wWgRoRJFDdc+8LPwuPQL0jKOrMm8lwzP49nJ6epruhD6yqCDBbBGoEgZqLI1DPCIo6ORyK/vvn/N/sxNLxb7Y/GxtgtgjUiCCBJl/sndHIIbysGOwRFPVZ4c2zer/zzHIXNMBsEagRQQJNR2PLlunB0pIDFIF6R07UydFQ9gVf/ptyc7LoF/waIFAjkgSajMbovvpLxrevFz5EQqDekRN1eTpJPa0k5YXfBhCoEUkCTe9jSs/O/3Ce8nN+J73VXUwIVBxyoi5lmRwWIdDdIEqg8ceT1nA7vLSrAIFKQ07U1W12Z/Vh0cLn6FegJ6LwAvWELIFWdygX+nxh+6wHApWGoKjLBz1uTsoT86lTl3zQYwUQqBlhAk04Xp6/Oz09feHypBwCFYegqNPn4u6l5+gvytuYfpJ/GxMCNSNPoJNAoNKQFHX2sptvfri6+lti0hc/vzlZ+hz9CvRFFF6kfkCg5uII1DOior5pn6O39Gd42fYGFFyknkCg5uII1DOyom6eo9/Ay0QQ6AAI1FwcgXpGXNRffj59/ijhm+9/2MDr7BDoAAjUXByBekZm1K4Ely0CHQCBmosjUM/IjNqV0LLtjye0SH2BQM3FEahnZEbtSmjZGuIJLVRPIFBzcQTqGZlRuxJatgh0CARqLo5APSMzaldCyxaBDoFAzcURqGdkRu1KaNki0CEQqLk4AvWMzKhdCSxbUziBheoLBGoujkA9IzNqVwLL1hhOYLF6AoGaiyNQz8iM2pXAskWggyBQc3EE6hmZUbsSWLYIdBAEai6OQD0jM2pXAssWgQ6CQM3FEahnZEbtSmDZItBBEKi5OAL1jMyoXQksWwQ6CAI1F0egnpEZtSuBZYtAB0Gg5uII1DMyo3YlrGzN0YQVqy8QqLk4AvWMzKhdCStbBDoMAjUXR6CekRm1K2Fli0CHQaDm4gjUMzKjdiWsbBHoMAjUXByBekZm1K6ElS0CHQaBmosjUM/IjNqVoLIdCiaoYH2BQM3FEahnZEbtSlDZItARIFBzcQTqGZlRuxJUtgh0BAjUXByBekZm1K4ElS0CHQECNRdHoJ6RGbUrIWU7GEtIwXoDgZqLI1DPyIzalZCyRaBjQKDm4lHr8zrtLkIIMdgjM2pXQsp2OJaQovUFAjUXR6CekRm1KyFli0DHgEDNxRGoZ2RG7UpI2SLQMSBQc3EE6hmZUbsSULYjQgkoWm8gUHNxBOoZmVG7ElC2CHQUCNRcHIF6RmbUrgSULQIdBQI1F0egnpEZtSsBZTsmlIDC9QUCNRdHoJ6RGbUrAWWLQEeBQM3FEahnZEbtSkDZItBRIFBzcQTqGZlRuxJQtgh0FAjUXByBekZm1K4ElC0CHQUCNRdHoJ6RGbUr4WQ7KpJwwvUGAjUX35FAQ4ixS5hRLUU42Y6LJJx4fYFAzcURqGfCjGopwskWgY4DgZqLI1DPhBnVUoSTLQIdBwI1F0egngkzqqUIJ1sEOg4Eai6OQD0TZlRLEUy2IwMJJl5vIFBzcQTqmTCjWopgskWgI0Gg5uII1DNhRrUUwWSLQEeCQM3FEahnwoxqKYLJFoGOBIGaiyNQz4QZ1VKEku3YOEKJ1x8I1FwcgXomzKiWIpRsEehYEKi5OAL1TJhRLUUo2SLQsSBQc3EE6pkwo1qKULJFoGORK9Dj7+e/fLZdCIG6z/dDmFEtRSjZjo4jlIC9IVegX59Gd361XQiBus/3Q5hRLUUo2SLQsSBQc3EE6pkwo1qKULJFoGORJNAvVyqXiUDfJ//+YVMFAnWf74cwo1qKULJFoGMRJNBkl1OH1W4oAnWf74cwo1qKULJFoGNBoObiCNQzYUa1FIFkOz6MQAL2hyCBxh9PouhwWvLnk+jwbfLv9zaX4hGo+3w/hBnVUgSSrUUYgUTsDUkCjW9fR9G9D8UHLiLNHEMIMXYJM6qlCCRbBDoaUQKN49+S3c6/5H8i0JljCCHGLmFGtRSBZItARyNMoPHtsyi6n+2EItCZYwghxi5hRrUUgWSLQEcjTaDx8W9RdHgZI9DZYwghxi5hRrUUYWRrE0UYEftDnEDj+CbZCX38GYHOHUMIMXYJM6qlCCNbBDoegQKNjz8lO6FvEejMMYQQY5cwo1qKMLK1iiKMkL0hUaD5DU3fniDQWWMIIcYuYUa1FGFki0DHI1Og2Q1NlvfQZyBQ9/l+CDOqpQgjWwQ6HqECzW5oQqCzxhBCjF3CjGopgsjWLoggQvaHWIHGt3+1ewgpA4G6z/dDmFEtRRDZIlAL5ArUCQTqPt8PYUa1FEFki0AtQKDm4gjUM2FGtRRBZGu9kSwUhwgQqLk4AvVMmFEtRRDZIlALhAvUfDOo7u13VtUjUO+EGdVShJCtbQwhxOwPBGoCgXonzKiWIoRsEagNmxZoFy8CTZYKYZAh0BVJfzPW6sdmckLIFoHaIFyg8RcBv4mEQCcQZlRa6rH46Vl2tHP4zvY+uxCyRaA2SBeoJQjUfb4fwoxKR3U0lL6roeDwyq6OELJFoDYgUHNxBOqZMKPSUQn0LDXnt6enz1OF2hk0hGwRqA0I1FwcgXomzKh0lAK9TkZNfuyevrHB7nHjELJFoDYIFOjx6vfz8/Nfrqyf44wR6JT5fggzKh2lQJMd0AfFpGNi0Cc2dYSQLQK1QZpAL98otyQ9fm+7OAJ1n7/EksOLhrDmxlEINJVmddye7I3eX/BXYxcBgdogS6C3z1p3dd770a4CBOo+f4klO2t4zrpXphBo4866he9TXgTrGEII2huiBHp9kg6xR8UPwz90uMyJQN3nL7EkAg1OoPYhBBC0PyQJNBmN0eGtMuGT9TtBEaj7/CWW3KBA47PoUB0X3Vj+bEIA2SJQKyQJ9KKjy1SpS56kR6Cz1GxcdFMCTc15rYxJgedAEagVggTaODtfsPAARaCz1GxcdEsCTbj7D+//qdoFXfoLfgkQqBWCBKo7n7Tis/Dpnwh05iW3J9CcbFAe7X92JoBsEagVCNRcHIHOULNx0c0INDHm5bvnJ7VAs3P2dreJBJCtQwgBRO0NQQJNDuE7w3HFQ3gEusCS2xJoRmbRUqD3Ptgt7D9blwj8R+0PQQJNH/Fo2TI9Lfqgp7QWBOo+f4klNyjQmuPfLfUZQrYI1A5JAr1JDo/uq2MyfdbY7hgJgbrPX2LJTQvUAf/ZIlA7JAk0vY8pMebpD+cpP+d30ltd5ESgE+YvsSQCbeI/WwRqhyiBxh9PWs9tHF7aVYBA3ecvsSQCbeI/W6cI/IftDVkCjY/vVIUeXiz8xm8EOkvNxkURqIL/bBGoHcIEGqdXOc/fnZ6evjh/7/A+OwTqPn+JJRFoE+/ZOo/wvSJPoJNAoO7zl1gSgTbxni0CtQSBmosj0BlqNi6KQBW8Z4tALUGg5uIIdIaajYsiUAXv2SJQSxCouTgCnaFm46IIVMF7tgjUEgRqLu4i0HYpBGpaFIEqeM8WgVqCQM3FEegMNRsXRaAKvrN1bN932B5BoObiCHSGmo2LIlAF39kiUFsQqLk4Ap2hZuOiCFTBd7YI1BYEai6OQGeo2bgoAlXwna1r+77j9gcCNRdHoDPUbFwUgSr4zhaB2oJAzcUR6Aw1GxdFoAq+s0WgtiBQc3EEOkPNxkURqILvbBGoLQjUXByBzlCzcVEEquA7WwRqCwI1F0egM9RsXBSBKvjO1rl934F7A4GaiyPQGWo2LopAFXxni0BtQaDm4gh0hpqNiyJQBd/ZIlBbEKi5OAKdoWbjoghUwXe2CNQWBGoujkBnqNm4KAJV8J0tArUFgZqLI9AZajYuikAVfGfrZQyIBoGaiwsWqCYMq/LuLVktikAVPGc7qSNnjEMQCNRc3EKg1UwEarMoAlVAoNJAoObiCHREaQQ6FwhUGgjUXDyqlkKgrdLN7xZHEGgDBCoNBGouvjuBjo0UgS6BXIH6Dt0XCNRcPKr0ZxRoYyYCHQ8CbYBApYFAzcURaG9pBDo/CFQaCNRcHIH2lkag8+M320mt76ujKhCouTgC7akEgS4BApUGAjUXD0+go6taSKBR6w+bkAz1maPaCwhUGgjUXByBtgsh0AVBoNJAoObiCLRdqBZob8IWINAGCFQaCNRcHIG2C6kCrf4eGZKhPnNUewGBSgOBmosj0HYhBLogCFQaCNRcHIG2CyHQBfGa7bTG99VRFQjUXLwrUG0VoQlUFygCDR/BAt1ZT5UgUHNxDwIdVNjIOhCoPBCoNBCouTgCbRdCoAuCQKWBQM3FEWi7EAJdEAQqDQRqLj5ZoEoN88SIQDcMApUGAjUXR6DtQgh0QSQLdGddVYBAzcURaLsQAl0QBCoNBGouPk6g0cYFWk9EoIuCQKWBQM3FEWhzIgJdFAQqDQRqLo5AmxMR6KIgUGkgUHNxBNqciEAXBYFKA4GaiyPQ5kQEuiiiBbqzvspBoObiCLQ5EYEuCgKVBgI1F0egzYkIdFEQqDQQqLk4Am1ORKCLgkClgUDNxRFocyICXRSf2U5ve199lYNAzcURaHMiAl0UBCoNBGoujkAbEyMEuiiyBbqzzspAoObiRoGqXrEUqCGQrQq0p2YEqoBApSFXoJfnv/xhvdDcAo2UPxDoUP19++7DUe0FBCoNcQK9+pz+9/juJN1+7721XHrvAjUtjED9g0ClIUugt29Sa/4Yx2dRwXd2FSDQoXYRqE8QqDRECfQm2+2MDj9eJ//95vQ0/fjEqgYEikBDBoFKQ5JAvz5NNrdHD5N90GeJRJMJx5+i/I/RIFAEGjIes52j6X11VoYkgV5E0Z0PxX7oq2zK8bXlLigCRaAhg0ClIUigqS0zbyYivf85n3Zd/zkKBIpAQwaBSkOQQJMj+Du/pn8ku6AP2tNG0puufgYCbbWJQJcFgUpDokCTP2QLVGfUETGOml0XQqDyQKDSkCXQ/IrR8R8f/ak4bk92RhFoTyEEKg/hAt1Zb6UIEmh682f7itFFVO2MjgKBItCQQaDSkCTQ685NS7dP57oKj0ARaAAgUGlIEmh6GT76U33RPXue0+oiPAJFoEGDQKUhSaDx12eResozvbHe7j56uQKtJyJQGRx/P//F6ss9xV+287QstrecESXQdJ+zKdB7H+wqECxQbe2mOhCoV2xvEMlAoNKQJdAmx79b6hOBItDV2KVA5XaXK5IF6gACnVeghmU0lWxcoF+uVC4Tgb5P/rV6aS0ClQYCNc1AoK02uwKN+pbRVBI1K1MnDkQlgexdN13muU95cRCoGwi0Z0ZhBgTamIhA+0Gg81UjBwQa6x2AQHUhIVADH0+i6HBa8ueT6PBt8u/3C77sZkYQqBvCBWo+U6/bIdCVijXrAYHqQkKgJm5fR/V9ISMuIo0bn+uAQN1AoAi0UTECncJvyW7nX/I/ZQl0toZl9dd0Ni3QLgh0XYGqc/Yg0Pj2WRTdz3ZCZd3GhEAdES7Q+Mv020QQqFrx3ALtrq1NCzQ+/i2KDi9jBLoTpAvUEgSKQJfmJtkJffwZge4DBFqpMtJORaBxI7UxAq0/71Gg+W8dvkWguwCB1gJtS04n0EinhFKgkbKoUs8OBRp1/tqRQPMbmr61fNd3BgKVhkCBHq9+Pz8//+XK+lU3MQJdQKCaZHYv0OyGJst76DMQqDSkCfTyjbLlPn5vuzgCXUCgnUoRaHZDEwLdAbIEmt4k0uCe3etAVxZoobEdCbSsA4HGt3+1ewgpA4FKQ5RAr0/SjfVR8azcw/TD4ZVVDQh0aYFGcTPY3QrUCQQqDUkCzd5A/1aZ8Mn6MGmrAtXLUjcNgYYMApWGJIFedHT5dY4flZMk0O6Seu0tLtDWqZRmmAjUFQQqDUECTX9Trn3Afm35q3KrC1StQa3bWaBt4yDQLYFApSFIoLo7k2d8Fh6BIlDvyBfozjoMgSJQc03NkBDosiBQaQgSaHII3/kRYw7hEeiWQKDSECTQ+Kxjy452lUMAACAASURBVPS06AObKhAoAg0ZBCoNSQK9OSnftViQPjDX2Sk1gkARaMggUGlIEmh6H1P6qzM/nKf8nN9Jb3UXEwJFoEHjK9sZ291Xh8kSaPaWmwbZq2stQKAINGQ2IFB6bGqNc1eocnynKvTwwvZh400ItBsnAt0ICFQawgSacLw8f3d6evri/L3D++y2IdCoUzpQgWrXFgLtB4FKQ55AJ4FAEWjIIFBpINBQBKoupQsSge4ABCoNBIpAjTW1Y0OgS4JApYFAEaixpnZsCHRJEKg0di/QqNrmEaih9ToMBLogWxDovroMgToKtKVMBKqEiUBd8ZTtvM3uqssQKAI11tSODYEuCQKVBgIVI9A6AA8CbRsRgS4CApUGAt2OQBuyQqASQaDSQKChCVSvFAS6CxCoNBAoAm2UR6A+QaDSQKAItFEegfpkEwLdVZ8h0HkF2jCXjUCbdWkCX1igZbUI1CcIVBoIFIHGamII1CcIVBoIFIHGamLrC9Q8YPa0MfrKdu5W99RnCBSBxmpiHgRqHDF72hgRqDwQaPgCrVpGoFsHgUoDgYYqUNVKgQk0zwuBzg8ClQYCnS7QWm5zCbTpPwS6GxCoNBCoRqCVfhBoNzgEuiAIVBoIVCvQSpoItB0cAl0QBCoNBJpvwg0RhCrQVphKRnqBdlodEqgusHZwWoFGjYJDAm2uHwRag0ClgUDbHqitF4ZAG7ueUSuCYAQaqQUHBVrNRqBNEKg0EGhXoKVLEKguOAS6IF6ynb3RPfUZAkWgjaR9CNQ0CPe0MSJQeSDQvQu0lbQfgfYPmj1tjFsR6J46DYEi0EbSCNQnCFQaCFQv0NoEkgSqtoxABYJApYFADQJtSAWBKsEg0GVAoNJAoL0CjVYQaD3dXaBlcAhUPghUGggUgVZJzyzQlhoR6DAIVBoIVKJAo3pZBLolEKg0EOisAq0kWpbRaKmstRkPAtWzo20x3oxAd9RrCNSzQOuygQtUaQKBLgUClQYClSDQjrDqXMwCVdNFoOGDQKWBQDcvUEVXCDRwEKg0ECgCrZJGoL5BoNJAoAMCVdwRqkCbdlOj8yjQrhwR6DAIVBoIFIFWSSNQ3yBQaSDQvQpUnexHoFG3jK7p3lkbZCsC3U+3IdA1BVpLaF6B1pEreYYp0MYqRKAtEKg0EOi6Ao30Am05aGGBdiYj0EDwke0ibe6m2xDoXAIt/zODQBu1zC1QNZ+qGgQaBghUGgh0fwLtTjYKtM4CgS4NApUGAg1boK1QEOi2QaDSQKDrCbQyo0mgVSBBCLTWJQJdAwQqDQSKQKtaEKhvNiPQ3fQbAu0XaDURgboItDULgY4AgUoDgbY10FGDP4HWgpku0LrtxmSzQOtA5hFoNb0q3FzHo3psyyBQaSDQtgY6akCgCHQtEKg0EGhbAx01IFAEuhYesl2oyb30GwJta6CjBq1ASx1VVSDQOp9WwOqaRqBGEKg0EGhbAx01zCPQUhYIVE0VgTZBoNJAoG0NdNSAQEvVIdClQaDSECbQ47vnj779l8/V569Pozu/Wiw/SaDq1l/qpKpiDwKNEOjCIFBpyBLobyfZ1nZ4USo0BIEqirMRaF1NXMtuVYFGVdH1BKpOUosh0AwEKg1RAr2oNsD7hUElCLRhHwTaSBWBNkGg0pAk0Jtk//Pe26urn9J/c20GLVBlieo/sgWqhqaJCIEqXJ7/8of1QghUGpIEelHued4+Kw0aukCj1kx1QlVNXMsOgQ73WNhcZSP0+C472XTvreXSCFQaggR6fB1Fr+o/M5duQKC1BtWFPAtUUZxWoJqVVC9gIVB1hYztsYC5fZOkcu/HOD4r8/rOroL1s12qRVH9NgFBAlVlmRr0QRycQEu/tKtGoK0V252wBYHeFNc4f7xO/vvN6Wn68YlVDdsRqKiOm4BQgaYf0rGJQFuRK3nWk+uWmqXrVVInOkKg3TUUKSk3VpUya/sCTcdk9Ohhsg/6LJFoMuH4U5T/MRoEKg2pAk2/7ZOxuW+BdpW4jECbESDQHi6i6M6HYj/0VTYlPVCy2gVFoNIQJFDlHGjKdTpcvQq04RM/AlWb1Qq0Cqf8Wy1dr5I6UVWjCNSGanxe1LfZXdd/jgKBSkOQQNOB+aD58c6/I9Bm5EqeTTWVlaql61VSFy2rLINZT6D6gSNnO6y+zJNd0AftaVr61+N6INBpSBJoemz0WLm37iwbcWIFWsqpKtqOx7tA1WUQ6BCVLJM/EKigjpuEJIFmTyKp4/GnKEKgzciVPBvRryHQSoPtZLtrujuhLjfUY6GSyDK/YnT8x0d/Ko7bk+/8ieNzaRDoNEQJNP7YGo/J550KtKqiFXmdVdwoikCX56x7xah11mkQBCoNWQKNj5++b5yTP/50sr5AWzptaQWB7lWg152blm6f7vcqvKSem4AwgU5lOYEqVexToOV/4t0KNL0MH/2p/oLPnue0ugiPQMWBQKPWhq11QyxJoIWOGkUXF2g1K3YSqFpwoMfC5euzxhml9MZ6u/voEag49i7Q7iasN4MUgdbzghKo2rYuVXXyQI+FTLLP2RTovQ92FSBQaSDQ9hasNwMCbcWuZe8CbXL8u6U+Eag8hAt08n123bl6MyDQVuxaEOhEEKg0EGh7rt4MLSsgUC0IdCIIVBqbFmgXnwJtm2aKQOsqupEjULlsSaD76DrhAo2/XFn9bsKaAm2JpWOaMQLtrQCBbpLVs12ywV10nXSBWrKCQCMJAq1cV4i0UxSBegGBSgOBtrdgvRk2KdBqqUZiswi0MRWBjgWBSgOBdrf1fjfoPiHQVqUI1B0EKg2BAj1e/X5+fv7LldUzcgXuAu1KZOsCjZr/mmJpzEKg7iBQaUgT6OUbZXt7/N528X0LtFtj7EmgPWt6TI9tGgQqDVkCTX8QvsE9u0eNgxRo1ahhKQS6DxCoNEQJ9Dr72dhHpzkP0w+HV1Y1rChQ/YKNCS1JtQNCoLoe2zQIVBqSBJq93eatMuGT7fuUEWgngkGBdiIwrSEtMQIdCwKVhiSBXnR0+XXyC2t123q/CRp/TRdo3Wq9oL7QBIHWUxBo8Kyd7aLt7aLrBAm09bPGGZN/Nla3rfeboPEXAh1JjEDHgkClIUiguufe13oWXieRNQU6HFI8j0CVOc0GEOgaIFBpINDhzVqjjpAF2gyvWag9LR4tULuwmgsg0LEgUGkIEmhyCN/5gYS9HMIPhxQj0A2wKYHuou8ECTT92diWLdPTotN+Nla3rfeboPEXAh1JjEDHgkClIUmgN+mPHKq/knD72vZXu0IXqLWdPAjUmhiBjgWBSkOSQNP7mBJjnv5wnvJzfie91V1M4QvUlokCjRBoUCBQaYgSaPzxpLXFHV7aVbCGQCMvAu0sPk6gvR+MK8KOGIGOZeVsF25uD30nS6Dp78Yq29vhhe0bmeYSqPJpowKdkRiBjgWBSkOYQBOOl+fvTk9PX5y/d3if3eYE2t8IAhUIApWGPIFOYucC7SvtRaD6koM9tmm2JdA9dB4C7W7r/SbQfUKgQ8QIdCwIVBoItLut95tA90m7QIxAlQoR6FgQqDQQaHdb7zfB6ImRnUBNNY1mgkBHznEkRqBjQaDSQKDdbb3fBDbSMC6IQBGoDgQqDQTa3db7TWAjDeOCCBSB6lg328Vb20HnIdDutt5vAhtpGBdEoAhUx8YEuoPeQ6Ddbb3fBDbSMC4YskBnJ0agY0Gg0kCg3W293wQ20jAuiEARqA4EKg0E2t3W+01gIw3jggi0R6CaDlpnZIQBApUGAu1u6/0msJCGeUFtTfM6TapAo4Ee2zQIVBoItLutzyINwyfdhN6Jc0SAQKWAQKWBQLvb+izSMHzSTeidOEcECFQKCFQaCLS7rc8iDcMn3YT5QaAC2ZpAt999CLS7rc8iDcOndUCgAkGg0kCg3W19FmnMU808ESBQKSBQaSDQ7rY+izTmqWaeCHwLNPsPAh0BApUGAm1twQh0dhDoaBCoNBBoawv2L9D5IwhBoIb7/FtTB3ps0yBQaSDQ5ga8HYEO1IhAQwSBSgOBNjdgBDo/CHQ0CFQaCLS1BSPQhZpHoCNYNds1Gtt89yFQ7dY+kzTWXtSiRgQaIghUGghUu7XPJI21F7WocfXbBEY1iEA31tjmuw+BetTF7Ita1Oj/PisdCHRjjW2++xDociZYf9HgWrEFgW6tsa33HwJdzgTrLxpcK7Yg0K01tvX+Q6DLmWD9RYNrxRYEurXGtt5/CHQ5E6y/qHgQ6Nba2nr/IdDlTLD+ouJBoFtra+v9h0CXM8H6i4oHgW6tra33HwJdzgTrLyoeBLq5tjbegQg0OEKMaU0GemzTIFBpINDgCDGmNRnosU2DQKWBQIMjxJjWZKDHNg0ClQYCDY4QY1qTgR7bNAhUGgg0OEKMaU0GemzTrJjtWk1tvAMRaHCEGNOaDPTYptmgQDfegwg0OEKMaU0GemzTIFBpINDgCDGmNRnosU2DQKWBQIMjxJjWZKDHNg0ClQYCDY4QY1qTgR7bNAhUGgg0OEKMaU0GemzTIFBpINDgCDGmNRnosU2zXrZbVLUPEGhwhBjTmgz02KZBoNJAoMERYkxrMtBjmwaBSgOBBsd8MYWY3TADPbZpEKg0EGhwIFBjj20aBCoNBBocCNTYY5sGgUoDgQYHAjX2WNAc3z1/9O2/fK4+f30a3fnVYnkEKg0EGhwI1NhjIfPbSZbB4UWpUAS6blPrg0CDA4EaeyxgLqoc7hcGRaDrNrU+CDQ4EKixx8LlJtn/vPf26uqn9N9cmwh03abWB4EGBwI19li4XJR7nrfPSoMi0LXbWhsEOmlbn0cZS1WKQNfk+DqKXtV/Zi5FoGu3tTYIdNKmPpMzmrUGWNOaDPRYsKiyTA36IB4S6HD2y4FA5wGBTtrUJy3eV2uANa3JQI8FS0OWyYfoCQJdv621QaCTNvVJi/fVGmBNazLQY8HSlOXNSXT4MdxD+FVXq5w+tEeQQNMvdQ3TBujETX3S4n21BljTmgz0WLAo50BTrpOh+QGBemhtVRDopE3dPNuxVrfFFq1pTQZ6LFwu8vOeysc7/45A129tVQQJNLs7pIsogY5pD4Eaeyxc0vtAH/9Rfz7L0kGgojrRFkkCzQ6SnkyqAYGGWGerBXOPBUz6JJLqy5+iCIGu39qqiBJo+zSTPQh0apUI1MDHk6Yvk88IdPXWVkWWQK2varbpE6ib6xDoEgz0WNAcP33/ufH5pxMEun5zKyJMoOm1zSkH8dsTqKk0ApXGWtmuvVa324vSBJocxE/ZBUWgE0Ggi4JApSFNoPHN6em/ui+NQCeCQBcFgUpDnECn4Uug8agFRjc8svQiAl3coAM9tmm2KtDtdiMCzTdazXY8ZlM3z27+qbY3crGJpRGoNBCoNBBovtFqtuMxm7p5drOg2t64xcaAQLcEApUGAs03Ws12PGZTN89uFlTbM1WCQI09tmkQqDQQaL7RarbjMZu6eXazoNqeqRIEauyxTbNStuuv1M12IwLNN1rNdjwsIAS6BAM9tmkQqDSEC3TqC2urqZqCgwLqaUGtoSoZTReofvq6Au1bq3O3ofbQrAMmcBCoNBBoPlVfcHBLN89XSkaTBdrTGALdEghUGpsWaJd1BBq3K0Wglm3099i2QaDSEC7Q+MvVH8OFahDoNIZXyjxt9PfYttmsQDfbj9IFaokPgcZrCbRTwLdA3do399i2WSdbH+t0q/2IQPs2dXV275ZuFAcCdW6jv8e2DQKVBgLt29TV2b1bulEcOxRobPhk00Z/j20bBCoNgQI9Xv1+fn7+y9Xn4aIdBAi0t9JYGygC3RLbFehWO1KaQC/fKJva4/e2i8sTaNycLlSgVgf+xh7bNghUGrIE2vldzns/2lWAQKcxtFIQ6DQQqDRECfT6JN3AHp3mPEw/HF5Z1YBApzG0UhDoNDYs0I32pCSBfn2aCPOtMuGT7Y8eLifQRtFwBTpVqWUKffVYClQ71dxj2waBSkOSQC86ukyVavUbcwh0GmUKCHQZEKg0BAlU96Pw11F03+Zq/BiBxvV2PGgTvQrWE2ijRgQqHgQqDUEC1T33vsSz8PMINK6sgUAR6FgQqDQQaGdL3rVAh1NGoAuCQKUhSKDJIfyhfdfSLIfw8boC7RdmrHGNjUA7Lu7ENiTQESkvK1BND1l0r3gQqDQECTQ+69gyPS36wKYKUQJtlh4QaKyJZzGB9hYzCnTMDjEC3UgjAbW7KJIEenOSGPSDMuE28Wdnp9QIAh1KyVysTAGBLgMClYYkgab3MSXGPP3hPOXn/E56q7uYEKg5IwTqGQQqDVECjT+etLa3w0u7CiQJtC6tTF9foM3M4n6BdnOzF6iuhxzGiVgQqDRkCTQ+vlMVenhh+0amBQSq2WdbVqCqSeNegSot9Xlem1Kn2BSB9uxM94eDQLfSSFANL4gwgSYcL8/fnZ6evjh/7/A+uzkEWk2PnQTarlW6QNUIOoV14fTVXZYz99i2QaDSkCfQSZgF2vhYze5u5KsINI4lCzRuBNcj0O4KRqDbaCO0lpcDgQ4JVPVDKZGGTDSaiTYg0E7ealC9AlWbVOJBoOPYtkC32JkI1IdAtQJaU6CNPcX2uUpbgaoLVeumERwCHQkClQYCnUGgcVsz0SSBdvw8o0Dbx+jzCbThTATqBgKVBgK1EmgcRxrDhSfQoim1hWblrSZbwTQEqqZWBjVZoK121XLmHts2GxfoBnsTgU4UaDxNoFUQShPt6scJNFarKhZW7DWnQNWYEeicIFBpIFBhAm2GVS+t5FMvrJaxEKiycGOmsvbUhuYTqLaHpve6HBCoNBDo1gXaWEBJWSsyg0Cba09tqLZlvUoRqBMrZOt1hW6vNxGoutlXwmuLR93km4ttRaCK+Jp1jRNoZ5U2glMFqvwXgbZBoNJAoKMFGpeqWUqgyu5fo/oVBFo32q6r+UdzxSlFO6u0ERwCHQkClQYC3YlAW5WrobYEqq4bpdLm2lMbQqCzsXWBbq87EegkgRZ1ItDOKm0Eh0BHgkClgUBVgZbb+W4E2tZkj0ArHTZXnNJsa6XaC7QOz9xj2waBSgOB9gi0mu0mUEWTqwhUzWe0QKu6lDWgEWhZwUSBNptGoDo2L1Dfzc8OAtUKVJktWaBlwjqB1rMWFKi68hDoMAhUGggUgfYINK6rRaArgUClgUA3IdBGPghULNsXqPf2ZwaBThZoHCNQS4FW7SLQJghUGgh02wKtJiNQCSyfrff16T2AeUGglW1mFmhd/TICra3mX6CdlVqVHRCoUhECjXch0AAimBME2hVoc/YUgdZCNgu0ttd+BVqt2nZluia2CgKVBgJdXqDNf5WG+wSqHABvSqBVMkq7CFQFgUoDgQ4ItOEAs0BrGUwQaGOxfQm0sYL6Pm8bBCoNBGoWaNxwgFGgigzcBdpcbCsCrZaNOu3WySurvLlqdwQClQYCRaArC7SuQK2rscqbq3ZHLJ5tAKszgBBmBIEuLdCqofbnhQTaWLg1GYEGzh4EGkQMs4FAle04nl+gSkONAPwKtP7CWEWgdTQI1AwClQYC9SNQZd+sFKg6112gzYW71cVKm0pdCDQIEKg0EKilQDuLFeUkCLQbMQINi10INIwgZgKBLiFQXcPhCrSREwL1ydLZhrE2w4hiHhDoTAKNY6NVlhVoJ+BWrkaBNnNCoD5BoNJAoNq9t1bxxQRaThslUKWShkDbgXQF2u3mxQXaybI1C4Hq2IdAQwljDhBoc54/gTbmtty1bYG2WuoEuiMQqDQQaHPeXgRaTfMoUO0SCFRy/SMJJIw5QKCmCQi08ee8AtUvgUDlVj+aUOKYAQRqmiBVoNpcuyG1m0SgvkGg0kCgpgm1QJvz2upYVqBq/WrzfQLtybUbUrtJBOobBCoNBGqaML9AdVPCEGi1m62LudtUVEfdrRiBOrITgYYTyGQQqGlCYAJV26kKeROoLqn2cgjUDgQqDQRqmrArgTabageBQNcAgUoDgZom2Au0M6uvoVAE2p6ytEC1rSPQAgQqDQRqmtAvUG21CLS9XFugPa0j0IK9CDSgSCaCQE0TEGjjz07tCHRmEKg0EKhpgpNAexruClT5S4ZAO0sPC7TvC2WDAv36NNJx51eLOhCoNBCoaUKwAlUKeRKooQkEGqhAQ1qXIcUyBQRqmuBRoI1yGxRo3xJyBRrfPrMUqK74kgGGtC5DimUKuxdopwAC1cSMQMdwfB1FTyzKI1D57FygmgIIVBMzAh1FatBXUyrYj0DDCsYdBNouoCuBQBHoKL4+tTvn2QaBSgOBtgsgUE0BBDqSa7uD+DaLZhvWqgwrGmcQaLtAv0C1fmvOX0Cg6sfm5KUF2mlqRBWdwjsTaHIQP2UXFIFKA4G2CyBQbVkEOo6b09N/dV8agUoDgbYLjBFo73zZAjVNRaBrgEClIVCgx6vfz8/Pf7n67LDsngQ6xIICbS6JQEezZLahrcnQ4nFDmkAv3yj3zD1+b7v4QgJVFt6qQF2rQKA2IFBpyBJo51mPez/aVSBcoLo6VxGoFQjUGQQqDVECvT5JN8dHpzkP0w+HV1Y1INDhSsfXMKZiBGrDngQaXkAuSBJo+raGw1tlwqcTy3c1INARlY6vYUzFtgJdIB5BLJhteCsyvIgckCTQi44uU6Va3beMQIcrHV/DmIoRqA0IVBqCBKp70Pg6iu7bXI1HoMOVjq9hTMUI1IZdCTTEkKwRJFDdc8a2zx5vXaDTQaA+QaDSQKDtAusLVNMAAp0xHkEgUGkIEmhyCH9o37W0iUN4zbSRAh0TlCUI1Cf7EmiQMVkiSKDxWceW6WnRBzZVbEqgw/McmFugo2pEoAUIVBqSBHpzkhj0gzLhNvFnZ6fUiKNARy6NQHVVINDxIFBpSBJoeh9TYszTH85Tfs7vpLd7+yICHQKB+gSBSkOUQOOPJ61HOQ8v7SoISKDGBhDojPEIYrlsg1yPQQZlhyyBxsd3qkIPL2zfyIRAR4cwWxUIdDwIVBrCBJpwvDx/d3p6+uL8vcP77BDo6BBmqwKBjmdnAg00KhvkCXQSCHR0CLNVgUDHs1i2ga7GQMOyAIG2CyDQmatAoOPZm0CDjWs0CLRdAIHOXAUCHQ8ClQYCbRfYuUBnAIE6g0ClIVyg5mfhIw0DFU4WqEu93QYQqMXSG2KpbMNdi+FGNg4E2lnENNN54XEC7WsJge4EBCqNTQu0i0eBDjRsLI5AdwIClYZwgcZfrv6wKe5NoJZYVBTeCESgziBQaUgXqCVSBGpBeCMQgTqzP4GGHNoYEGi7AAKdCgJ1BoFKA4G2CyDQqSBQZ3Yo0KBjG0agQI9Xv5+fn/9y5fAoPAJdAwTqzELZBr0Sgw5uEGkCvXyj3JL0+L3t4gh0BRCoM3sUaODRDSBLoLfPWnd13rN6Hz0CXQUE6gwClYYogV5nLwN9dJqTvZD+8MqqBgS6AgjUmWWyDX0dhh6fCUkC/fo0EeZbZcKnRKhW99Ej0DVAoM4gUGlIEuhFR5epUq1+FAmBrgACdWavAg08QAOCBJr+hnH7gH2l34UfuTQCzUCgziySbfirMPwIexEkUN1z72KehV+O8AYfAnVmpwKVEGIPCLRdAIFOBYE6s1+BCghSiyCBJofwh/ZdSxzCB7h5IFBnlshWxBpEoHWNc1dYcdaxZXpa9IFNFQh0BRCoM7sVqFiDShLozUli0A/KhNvEn52dUiMIdAUQqDP7FajUo3hJAk3vY0qMefrDecrP+Z30VncxIdA1QKDO7FigQg0qSqDxx5PWo5yHl3YVINAVQKDO7FmgMg0qS6Dx8Z2q0MML2zcyIdAVQKDOLJCtpBUoUKHCBJpwvDx/d3p6+uL8vcP77BDoCiBQZ3YuUIEGlSfQSUwT6HDtCDRGoBPYu0DlGRSBtgsg0KkgUGcW2BylrT9hCkWg7QIIdCoI1BkEKu2OUATaLoBAZwaBjmf2bCWuPlH7oAi0XWCSQN2XldWoDQh0PAg0RZJBEWi7QNDxawg+YAQ6nrmzlbr25MSNQNsFgo5fQ/ABI9DxINAcOfugCLRdIOj4NQQfMAIdDwItiKQoFIG2CwQdv4bgA0ag40GgFUK2RATaLhB0/BqCDxiBjgeB1sjYCUWg7QJBx68h+IAR6Hhmzlb2yiveeOE7DDMItF0g6Pg1BB8wAh3PvNnKG8xtWi9f8x2OBgTaLhB0/BqCDxiBjmdugc5ZmycCVygCbRcIOn4NwQeMQMcza7abW3UhKhSBtgsEHb+G4ANGoONBoGbCMygCbRcIOn4NwQc8SqBTlt4QCHSI0DZQBNouEHT8GoIPeFqAwac3K3NmK28ojyG0fVAE2i4QdPwagg8YgY5nXoHOV1dIhLWJItB2gaDj1xB8wAh0PDNmu90VF9Q2ikDbBYKOX0PwASPQ8cyXrbyBPJ6QckOg7QJBx69BXMB2bDy9FrNlK28cWxDSeVAE2i4QdPwaxAVsx8bTazGjQGeqKEzC2UwRaLtA0PFrEBewHRtPr8Vc2cobxpYEkx8CbRcIOn4N4gK2Y+PptZgpW3mj2JZgjuIRaLtA0PFrEBewHRtPr8U82cobxPaEYlAE2i4QdPwaxAVsx8bTazFHtqGoZWnCSBOBtgsEHb8GcQHbsfH0WkzPNsQXbixEEJki0HaBoOPfH/vqj4nZBvrKt6UIIVsE2i4QdPz7Y1/94ZxtwG/MXBL/OSPQdoGg498f8vrjePX7+fn5L1efHZZ1yjbk9w0vju/cEWi7QNDx7w9h/XH5RtHZ4/e2i9tnu1911vh0KAJtFwg6/v0hqj9unzV/gCK696NdBZbZIs8aT+sCgbYLBB3//pDUH9cn6Sb86DTnYfrh8MqqBotsld2u5P/Fgi2HlLNDp5FPPqX4v2ZWlWD5R7EK9Dvj1YoZs86HC5uWnomgBzwClYag/vj6NBHmW2XCp0Sod361qWJ0tpUrG66oSAAAFC1JREFUEKgiUM3RfGeCdp33tDCqI8aXHVnj3BXOCQKVhqD+uOjoMlXqE5sqRmXb2MoRaEOgmtLaZVurckzZCT1mRdADHoFKQ05/HF9HUfuA/TqK7ttcjR/ItmmYagkEqgq0s6Z0Veir1Bee0mMOBD3gEag05PRHsrvZOV7XTavp35JHlEGgJoEqq6BVtlNV7zlQQ7Cd+mck6AE/QqCrxAFjkdMhswj0/42mKJv+k/y/+tSoI/9kozI/VKHXU4r/a2ZVCZZ/FKvg/2nXnrKazCtyXGENc4+joAe8nM0RcuT0WHIIf2jftTTzITwEB3ugEDSCeuysY8v0tOgDmyoEZQsZCBSCRlCP3ZwkBv2gTLhN/NnZKTUiKFvIQKAQNJJ67CI9QXc4/eE85ef8Tnqru5hEZQspCBSCRlSPfTxpXe44vLSrQFS2ECNQCBxZPXZ8pyr08ML2jUyysgUECoEjrseOl+fvTk9PX5y/d3ifnbhsdw8ChaDZV4/tK9stgEAhaPbVY/vKdgsgUAiaffXYvrLdAggUgmZfPbavbLcAAoWg2VeP7SvbLYBAIWj21WP7ynYLIFAImn312L6y3QIIFIJmXz22r2y3AAKFoNlXj+0r2y2AQCFo9tVj+8p2CyBQCJp99di+st0CCBSCZl89tq9stwAChaDZV4/tK9stgEAhaPbVY/vKdgvsTqAgDd9jZk18r2uwZ/YxMHeFc+J7ZYM9vsfMmvhe12DP7GNg7golsebmvmJb22xKChNWibhFBUY8NwGFsj4IVFBTUhDnFAQ6hYBCWR8EKqgpKYhzCgKdQkChrA8CFdSUFMQ5BYFOIaBQ1geBCmpKCuKcgkCnEFAo64NABTUlBXFOQaBTCCiU9UGggpqSgjinINApBBTK+iBQQU1JQZxTEOgUAgplfRCooKakIM4pCHQKAYWyPghUUFNSEOcUBDqFgEJZHwQqqCkpiHMKAp1CQKGsDwIV1JQUxDkFgU4hoFDWB4EKakoK4pyCQKcQUCjrg0AFNSUFcU5BoFMIKJT1QaCCmpKCOKcg0CkEFMr6IFBBTUlBnFMQ6BQCCmV9EKigpqQgzikIdAoBhbI+CFRQU1IQ5xQEOoWAQlkfBCqoKSmIcwoCnUJAoQAAyAKBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABzZsEBvTqJXVgvcvjmJosPjD1PrWYxLfYADBJ/WBuhZxyVfn975VXR7w81+eh5F0d0Xn9ds9fg6qvA1lrcr0K9PLdfqx5O8Kw5/mVbPUhx/KgfLE5vFQk9rC/Ss45JkQ59XaGu3N9hspbLD/GOqv9V0DCPQpTizXKvXPZ1hW89inNUBWhg0+LQ2QN86Ljgm63pWoa3d3mCzS+4KGpJVZiHQubm2XKvpt9m95Cjh8llz9NnWsxjJIXeUHsbcJoP18OPYpYJPawP0reOCzC5zCm3t9oabvUiGZHr0/h/JrPvzHsWbkr0IYAhvVaD53r1x9SYDTensi7Lr0/FX7+GNqGclkgAf5H+dGXdBhaW1AXrWccGn7Ah0TqGt3d5gs8mE4is9GVfjv9wntppuCMuc6rVhowJNzwL9LxuB1mMg3dWrpo+pZyXOqgCvK5XqEJaWfHrWcc5tsuMUPX4255a+dnvDzSafywE5906hKdnmroInNirQtB/Vvjx+fJQMrG/equu7sf6Tr87yg9JnnXo8ohPoBtKST886zkkPbl/Oe1Fn7fbGNFtxNvOoMrWazDPsSKzENgWafFk9Ub8Mb4oLednZlJKGadS9unoQtOvxSeMQPg9oC2nJR7+OCy4O332e+ar42u2NabYkcdq8LZtaTea9un2e7UHM2aQdmxRo7pALVRglSve2TVOdYKkWbNfjlfS0ZXYR6U15VmgTaclHu45LvqRdMbtAV21vTLM5x3cncw8qU6sX0eHPxfh/7O1QfpMCzY92q/WdXch7mx7wnqhnDxumUTun6rRWPZ7JTm/lO5zZ1rGRtMSjXccN5hXa2u2NbTa7ze7wcr1Wlfv6/J0M3aJAixVdrfvrav0WFwnV+8eiqKOTsqPa9fjm9nXj63YraUkHgeZkPrv7cl6TGVpNL8tnN0+lx2R2D5fMyAYFWp53rtZ9ffml6INxpunU45mLOuDsa34jaYkHgeaN/uOj5yez7wsaWlVumbpY5smBMWxQoOXdYeW6Vy7kFTdcjDNNux7PpP787o84/pI+0flqM2nJB4HWpKeZZr0yPqrVbGfU02DenkCrVa4IVEW9GdJ0srBTj1+UZ9c/Zt+320hLKNXKT76lEKjC3HfSj2s1LebpGH5zAq1v6i3XvXKxut80nat93Xr80rmfYxtpCUUV6PDl6RWvwi/Q3uhmy1lzqmxkqwa3LszmBHoRNXmieVwjx3zDZLcev6ij52I7aQmlJdCBGyRXvA90gfZGN1sWm1mgHlq1YAcC7bu51/zITmim6RzLbCOtDTD8iM6KTyIt0N7oZjNmVtnIVv0dTu1AoH1nmM0PjYdmms5X8TbS2gDGZ9PLEms9C79Ae8PNqoftMz/LOa7V+d9hMprNCbRGvVxy50M1rerqUa8tikM5WXhTP+RxXV1hl5/WFjC/HSmeXWhrtzfYbDI2F7uhyNhq0VT6AlRfT8XvQaDpCatDeoNvegdQ3zdV9lzPe917BwMxTXqfcnUbUzpctpHWBuhfxwUzC23t9gabzW5pf7nMLe0jWk1n+doB3YVAGzdI9nZv75uvAzGNettS/iznJtLaAp113DqknFtoa7c32OytMjbn3hXsb1W9D8XbqahdCDS+Phmxon/r+e2VUExT/25CeYi+ibS2QHsdLy20tdsbbLZ+T8N3sz+U3t/qTdlqz29DrcE+BBof36Uvzrz74g/TAj2//heOaS6fZwG+ryZsI60N0FrHiwtt7faGm81/ldP2F2MntnosfgvUOP6XZcMCBQBYFgQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQN74+je5/zv+8fetSQb7U8XV059f5ooIVuIgafXYdRU9sq/j6tK4hGQIVr4ppt29Ooujw+EO9RHeKIbySRy/+sI0sbgxtDZ0RWxevhvThR4dmY2OS+llD6/HT8+TD3RdKNpej1+NIEKgb1bA5/mS//dRLIVB5pIZ6UH90EGij15OR1N7wP57kHw9/KQt1pxjDqzi8tAwtdhaoMqQdBWpIUj9rYD1WSj2UQk1iLHDYZvUgUDeqUeayA1IvhUDlcaHu47gMgOOZug97HbU3/Ov2BM2UgfAsyndwFKgypN0EakhSP2tgPWp2Sc/qKXMZFIG6MZNAQR6ZoRobrl1XZht2vfxF2xfprtS95Bjz8llZrDvFHF5R3/FTUt7gwh7MAu0tPlWghiT1s4bWYzLhkB69/0e1Fm6S/dj06P02WdL1NEMbBOoGAt0t+S5edRBv25WfTpoCPmvr4qLc3lNDPNFPMYdXiSQZpfai8CRQQ5LaWUPrsY6jWgsXVbedzbb9IVA3EOhuSTbDb09qS9l15W2yOxQ9flZv7Ml23tSVIqBkjymd150yEF69J3bmcAzvR6CGJHWzhtdjUrT8kitXyVlVz3XjNPYUEKgbxbC5Vs+xHD8+Sv785m3Rj2dJiU8PkwnpJb8v79J5h2+yC5X1UvUZpWN2xbBcOJt+fPdQvWKYV3/X6coqzEeyOT5RrsS3Baqei4s6h4rpceVL9TxiMpCam7Lir8Ic3SkD4akCLYs3BqB2fMW3b5KP333Omzvr7L/lodaxN4o3hnRS/uNDzcVu06oxJKmbNbweFc4QaHBoBHpTXCnMTtfEmUA/luOkPrPfXKoaAtk3ar1wOv3/niiVK9Wz7+qXVKDpsWSxBVoKNFFO40JMUvzVbf7dWU2otu18y+9OGQhPPYQv1NMcgLrxVRa5/5/ZQhdlWteR8pcyYpvFmwL9t+JqzaEZq2nVGJLUzRpejzXJWqhCftCsZjoI1I2uQGvBFd11Ft3NJj1oXhl9ohOocg9G9lm9gpgPNM3dLuCFTC031UG8nUC/lPr6tart8Oei6OPOOaGLUqCtKQPhKReRiuZbA1Azvuoi/yUb2tURcH3XVnaWsYy9Vbwp0IfNLWHMqjEkqZs1vB5Lju+qrkq3oewi0huXi2t6EKgbnXOg2ZXCt+mB9kkx4NJv4fsfynnfpUfel+UFwfZtTGf5FcOssx/ExQA/vPyc37mWFk1Gzr33cX4Fca7OBxfyfbPqIH7ifaDKnTV5v6r2uC6bak0ZCK+mOBjqDMDu+CqvdGd3XN6v9+6ykllg+ZAvpreLN4Z0UfXfIotVY0iyd5ZxPSqTq7thq+O86N5cNw8iUDc6Ar2u+q08aXRWTamPQZLv9azLWwJNJhdfx8Vf6SgsxkZx3FEddHDrqGdygVYXhKcJNK0mu9km3SsqvynnE2ihjs4A7I6vC/Ven/Svi+rI5zT/K5nxpIq9U7wh0Dsf1KpHMVGg3fWYkwn07svSqLevdTupU0CgbnQEWp+gLifpbpUoT8e0BKqMtLPm5lldeLwod2fBM8XZwfJLb5pAlRuNin3aWQXaMVgxADvjS7lwU7gx92XSYHqy9FVcGjWPvVu8IdDm0B3FRIF212Ne4h8fPa/2kdV14/KIlhYE6kZboOq9H8Xpo86J6i+///Uk0gpUKZov3L1zIzt/dPj2Xzh69015eeWiuiI46VFOdWo6CmYQaHkO9LK5N6YMwM74qi60VAOuGNEX2WWiB9V9Qnns3eK625hWFKhCsR5r0gP3B0VF2ZmMLz9FXETyjEagKuk8ZZ80vUmpvMakEah630Znh6AcheVJngP3MfnlormrZXcRKS6W1J2FuejRpatAY2VvrDUAdQItXVf+WV4zepLdkFfukVYCbRcfIVDTqplPoPUNBCXF7mm6jZZvGxjxSNc4EKgbbYEq1+A1AlXn6gWq3s+mF2h2gSmH+5h8Um2f+UH8fAK97gh52lX4uHZGewB2xpfiOsWIr9IPr/KD9+t8iTx2ffEpArW8Ch/H8cB6bK2TJ7a3g40EgbqhEWj7aKUWaL57eveb73/4T+050FF7oAmf3mBQ/9Q7ONlB/AICne0+0PJwtjMAx+yBJv8+SU+BZrp8le+GLrcHankfaJndOIF29+Q7e6muIFA3NIfw7b48U09r1/eTDJwDzUdL7yj88vObiPuYvFJve9lB/GznQIsNfNYnkerzqs0BOOIcaH7S86yY+aB80mepc6CWTyKVn/rXo4rLqZCRIFA32gLtnLlWBKr0+rX+IpLuKnxzFDYvOHIfk0eUnZf0IP6fJwlUqaw4Uzfrs/B5nd0BqBtfyhNJeRvJkfu/vS5uKEkfqitfEpcfM7WLTxSo5bPw5Yz+9ajuY7rsyY8EgbrRuY3porr7rew6jUBvn+oFqrsPtDVm6puiEKhf1C3zwumMirLhlzcG52+3LK8Vz/U2puIiUncAdsdX1UZ6uF/d4vkP1R1Mfy6vRrXuA62KTxSo9duY4oH1WG9T5aW0+umxNNiZ3meHQN1QBVqeMcqev8jukShupC/76Cw/gsovA5U3DypnlJpPIul3OtLzR9XDJDO9CAFcUAWan1yceiN9OmzSbs27PHvI533nfaDvrd8HWt9U3hmA3fFVtvGpvm3yWL1wM7sG9UCNvVtcGdJOAjUk2TfLuB6rKfWt9WeRchsTLxPxSiXQ/Prmq+YZ8tat9Y2T5+VTHdHAs/B9tzFFs92BAU40rj9cTxRo4/r4E6XOnOlvpC8PeJoDUDO+qjL/rTrleBYpewetB+E6xZUh7STQbpL1zfE9+ZvX461yZ+GDssKKuZ7lRKBu1L+J9LrssuvWbUbKbUzlT7EcXhTnjsqlqiHQfRtT5zam6v0P92Z6mTY40byAexZNE2h8U/Z8/Xs/v3V+Aag7xRSeQuGJ9gDUWa743aHi9Uop9YuY6h/PqGJvF1eGtJtAO0kqTxfp8x9Yj/WT79/V16AKZrsMi0DdqK8MHtMjhO+yv941Xtip3khf/TxgeSK7WKoeAuX7QPPy2lGY/aJg/b5R8ENToOlezbSr8MdicCjPR8z0q5x3H78vp7YGoHZ8pW1UL/gsc3tVVvqgHXu7eD2kHQXaTlJ9n742/8H1mE9Rl7p8ntXzPp4LBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4Mj/B3FCaiJVnlOOAAAAAElFTkSuQmCC" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50   -0.0229322527
## Lag 250  -0.0004914288
## Lag 500  -0.0021504106
## Lag 2500 -0.0606818556
## 
## [1] &quot;Mate_fecundity&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.05089700
## Lag 250   0.01603119
## Lag 500  -0.02096410
## Lag 2500  0.03771236</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                [,1]
## Lag 0    1.00000000
## Lag 50   0.01227923
## Lag 250  0.00615141
## Lag 500  0.06491877
## Lag 2500 0.01024358</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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4tOdrCeiF2gljDmhojpKDGBeEF2tv3oZEfrBwQKOsR0lJhAvCA7WwQ6BIGCDjEdJSYQL8jOFoEOiVCghw9/Xl1d/frB6nvsKhhyQ8R0lJhAvCA720F0ssP1QmwCff9CuSXpwRvb4oy4IWI6Skwgthze/2p1ffOE7GwR6JC4BHr7uHdX5x27rwNlxE0R01FiAjHjeHB0+oqwcqae/d2yuOxsEeiQqAR6c17MyvsXJd+cpugzqxoYcUPEdJSYQEx4e5qgdz9WMzWz/cEE2dkOgxMdrh9iEujpG+hfKgvenWd299Ez4qaI6SgxgRhwXVnz3mmmlm/xVr95KDtbTXCi4/VCTAK9HujyCz8qtxFiOkpMIPN8Or6f3/npl+PB+9+qaVkY1eoQSXS2CFRDRAItflOuPxtvLA+SGHBDxHSUmEDmuSwn4+m3D+81i9L52W0EqiEigeqee+dZ+I0Q01FiApmleYNXfn77+KE0mTd4XWyS4/UDAgUdYjpKTCCzNHNRmZQpfVsYAtURkUCP7/CDHzHmEH4jxHSUmEBmQaB7JCKB1ueYFIqjpnTOMUlCTEeJCWSW5g3+eNzOIfxeiEmgxVXOu+ovGd8+z4YfSidhwA0R01FiApmnvmJ0/Le+N+Q6oTd4BKojJoGW99mdXfx0VfBLeSe91V1MDLgpYjpKTCDz3Byn4/cfPrzKsvvtZ9FkbmPShyY4YD9EJdDqSQ+Fs6d2Fex+vE0R01FiAjHgsn786N+P8/TB1dUL60eRBGeLQLXEJdD88FpV6NkT229k2v14myKmo8QEYsDhVTktf26eSbJ8UE5ytghUS2QCzYtvubl6fXFx8eTqjcP32e1+vE0R01FiAjHi/T/uf3t6V/+jfKN/YDlHBWeLQLXEJ9BF7H68TRHTUWICseTw5z8ufrL+Pju52Y5FJjdiPyBQ0CGmo8QE4gW52SJQPQgUdIjpKDGBeEFutghUDwIFHWI6SkwgXpCbLQLVg0BBh5iOEhOIF+RmOxqZ3JC9gEBBh5iOEhOIF+Rmi0D1IFDQIaajxATiBbnZIlA9CBR0iOkoMYF4QW62CFQPAgUdYjpKTCBekJstAtWDQEGHmI4SE4gX5GY7HpncmH2AQEGHmI4SE4gXxGY7EZjYmL2AQEGHmI4SE4gXxGaLQEdAoKBDTEeJCcQLYrNFoCMgUNAhpqPEBOIFsdki0BEQKOgQ01FiAvGC2GwR6AgIFHSI6SgxgXhBarZTcUmN2Q8IFHSI6SgxgXhBarYIdAwECjrEdJSYQLwgNVsEOgYCBR1iOkpMIF6Qmi0CHQOBgg4xHSUmEC9IzXYyLqlBewGBgg4xHSUmEC8IzXY6LKFB+wGBgg4xHSUmEC8IzRaBjoJAQYeYjhITiBeEZotAR0GgoENMR4kJxAtCs0WgoyBQ0CGmo8QE4gWh2c6EJTRqLyBQ0CGmo8QE4gWh2SLQURAo6BDTUWIC8YLMbOeikhm1HxAo6BDTUWIC8YLMbBHoOAgUdIjpKDGBeEFmtgh0HAQKOsR0lJhAvCAz29moZIbtBQQKOsR0lJhAvCAzWwQ6DgIFHWI6SkwgXpCZLQIdB4GCDjEdJSYQL8jMFoGOg0BBh5iOEhOIF2Rmi0DHQaCgQ0xHiQnECzKzRaDjIFDQIaajxATiBZnZItBxECjoENNRYgLxgsxsEeg4CFQ4gSIW01FiAvGCyGzngxIZth8QqHAQaOgIfCIyWwQ6AQIVDgINHYFPRGaLQCdAoMJZO2LD+sR0lJhAvCAyWwQ6AQIVzvoCNapQTEeJCcQLIrM1CEpk3F5AoMJBoKEj8InIbBHoBAhUOAg0dAQ+kZitSUwS4/YDAhUOAg0dgU8kZotAp0CgwkGgoSPwicRsEegUCFQ4CDR0BD6RmC0CnQKBCgeBho7AJxKzNYpJYuBeQKDCQaChI/CJxGwR6BQIVDgINHQEPhGYbWTzxTcIVDgINHQEPhGYbWTzxTcIVDgINHQEPhGYbWTzxTcIVDgINHQEPhGYbWTzxTcIVDgINHQEPhGYbWzfPuMZBCocrwJt14npKDGBeEFgtgh0EgQqHAQaOgKfCMwWgU6CQIWDQENH4BOB2SLQSRCocBBo6Ah8IjBbBDoJAhUOAg0dgU8EZotAJ0GgwkGgoSPwicBsTUMSGLoPEKhwEGjoCHwiMFsEOgkCFY55xKY3eCJQucjL1jgieaF7AYEKB4GGjsAn8rJFoNMgUOEg0NAR+ERetgh0GgQqHAQaOgKfyMsWgU6DQIWDQENH4BN52SLQaRCocBBo6Ah8Ii9bBDoNAhUOAg0dgU/kZYtAp0GgwkGgoSPwibhs155+yYFAhYNAQ0fgE3HZItAZEKhwEGjoCHwiLlsEOgMCFQ4CDR2BT8Rli0BnQKDCQaChI/CJuGwtAhIXuxcQqHAQaOgIfCIuWwQ6AwIVDgINHYFPpGVrE4+02P2AQIWDQENH4BNp2SLQORCocBBo6Ah8Ii1bBDoHAhUOAg0dgU+kZYtA50CgwkGgoSPwibRsEegcCFQ4CDR0BD6Rlq1VPNKC9wICFQ4CDR2BT6Rli0DnQKDCQaChI/CJsGztwhEWvB8QqHAQaOgIfCIsWwQ6CwIVDgINHYFPhGWLQGdBoMJBoKEj8ImwbBHoLAhUeOUINHQEPhGWLQKdJTKBHl7/cP+7f/3YvP7yKPvqd4vyCBSBSkZYtpbhCIveC3EJ9I/zrODsSa1QBGq7JQKVjLBsEegsUQn0Oqu5WxkUgdpuiUAlIyxbBDpLTAL9dPz8eeflhw+vin9LbSJQ2y0RqGSEZYtAZ4lJoNf1J8/bx7VBEajtlghUMsKyRaCzRCTQw/Mse9b+eXIpArXdEoFKRli2CHSWiASqyrIw6L0cgdpviUAlIyxbBDpLpAItXmQPEaj9lghUMsKytQ1HWPg+iFWgxRWls58RqPWWCFQysrK1jkZW+F6ISKDKOdCCmyz76jcEarvlRgLdrGP3tU/KyhaBzhORQIur8Pe6L7/6X4kJdFhFNALdqGf3tU/KyhaBzhOTQIv7QB/81b6+PN1Tv7VA1zaYZRUIdJt6ZSIrWwQ6T0wCPT2JpPryFQK13hKBSkZWtgh0nqgEmr897/ry+BqB2m2JQCUjK1sEOk9cAs0P73782Hn96hyBWm3pV6DLu2Rf+6SsbBHoPJEJdCkbCbTcBoE6xjRd8dIaYkJUtvbBiArfDwh0jSLTArVoFIGuX0NMiMoWgRqAQNcogkAR6CqIyhaBGoBA1yiCQBHoKojKFoEaELlAp59EyjRYN4FAF1SLQO0QlS0CNQCBzoFAF1SLQO0QlS0CNSBpgQ5BoAhUMqKyRaAGRC7Q/POHv+Y3akGgCFQykrJ1iUVS/H6IXaCWINCO6fpFEGhgJGWLQE1AoGsUCSzQ6eb72yJQuUjKFoGagEDXKIJAEegqSMoWgZoQoUAPH/68urr69cPH+U0HIFAEKhlJ2SJQE2IT6PsXyi1JD97YFkegCFQykrJFoCbEJdDiB+E73PnZrgIEikAlIylbBGpCVAK9OS+kef+i5JvixdkzqxoQKAKVjKBs3UIRlIAfYhJo8VPGZy+VBe9sv08ZgSJQ0QjKFoEaEZNArwe6rH4d3hwEikAlIyhbBGpERALt/azxiZssu2tzNR6BIlA/fP7z6o39fSKCskWgRkQkUN1z7zwLP998f1sEuh3vfzhNx8Pr8/Ia58vZEl0EZYtAjUCgaxRBoAj0yOFFeZKpOFaq+N7uU6igbBGoEREJ9Dgtz/p3LXEIP998f1sEuhEnbx4Fevr37OLiovgYes+qCkHZIlAjIhJofjmwZTFVrWYoAkWgm3F8N8/+j4/lv6dLm4d/ZsP3/EkEZYtAjYhJoJ+O7+h3f1MW3D73MEERqHW14w3YE9EeeVl587J9V7/c/g1+KxxDEZSBF2ISaHEfU3Fs9NNVwS/lnfRWdzEhUAS6GV8ele/m9b8Fx/f8rU8xbQUCNSIqgeZvz3uPcp49tasgWoFO1pGEQEc2jWeHrC9oqhc2PfzkzFYgUCPiEmhzf0ilzye2d9pFJ9AMgdoFEo5alofnCHQ/RCbQI4f3V68vLi6euNynjEAR6GY0D3pctofwHu4S2QoEakR8Al1EUIEa1IRAF9QQmvpR40/n9ZWjwqlbP2q8FQjUCAS6RhHVYOPXgRDodA02iyVSfDPDneIukev6NqZX8d7G5BqJnAz8gEDXKIJAEWhefd3itz99+PDPo0mf/PLi3MddIhuBQM1AoGsUQaAItOBT/y4RS38KyhaBmoFA1ygiRqDzTSDQLeneJRLzl4kgUDMQ6BpFECgCrfn8y8UP9498++NPMX+dHQI1A4GuUUS+QJsVCFQycrJFoGYg0DWKpCDQbnEEGgQ52SJQMxDoGkXSEGiGQEMjJ1sEagYCXVykEU9XoEMZIdDpGmwWJ4qYbN0DEZOCHxDo4iLNI8wIdLxZkxpsFieKmGwRqCEIdHERBNqvVt/AbA02ixNFTLYI1BAEurgIAu1Xq29gtgabxYkiJlsEaggCdSyiumaBQHvLEOiCGhJATLYI1BAE6lgEgWrjHGvWpAabxYkiJlsEaggCdSyCQLVxjjVrUoPN4kQRky0CNQSBOhZBoNo4x5o1qcFmcaJIyXZBHFJS8AQCdSyCQLVxjjVrUoPN4kSRku2SOKTk4AcE6lgkkEC10SDQVJCSLQI1BYE6Fgkm0NFKEGj8SMkWgZqCQB2LRCjQ00oEKhkp2SJQUxCoYxEEqo1TG5lhDTaLE0VKtgjUFATqWASBauPURmZYg83iRJGSLQI1BYE6FhEu0P5mCDQKpGSLQE1BoI5FEKg2Tm1khjXYLE4UKdkuikNKEl5AoI5FEKg2Tm1khjXYLE4UKdkiUFMQqGMRBKqNUxuZYQ02ixNFSrYI1BQE6lgEgWrj1EZmWIPN4kSRki0CNQWBOhbZkUBNOg2BroKUbBGoKQjUsciuBDrfawh0FaRki0BNQaCORRCoNk5tZEYg0FxOtgjUFATqWASBauPURjZZbmbTXe2NUrJdGIaQLLyAQB2L7Fig+hAQ6AoIyRaBGoNAHYsgUG2c2sgmQKAdhGSLQI1BoI5FEKg2Tm1kEyDQDkKyRaDGIFDHIghUG6c2sgkQaAch2SJQYxCoYxEEqo1TG9kECLSDkGwRqDEI1LEIAtXGOVw83eMItIOQbBGoMQjUsQgC1cY5XIxALRCSLQI1BoE6FkGg2jiHixGoBTKyXRqFjCz8gEAdiwgTaGU/bwId1o9AV0BGtgjUHATqWGSfAq2qqJd1OmEYFwK1RUa2CNQcBOpYZK8CzRDohsjIFoGag0AdiyDQXo4IdAVkZItAzUGgjkX2KNAqUwS6GTKyRaDmIFDHIgi0lyMCXQEZ2S6OQkYaXkCgjkUQaC9HBLoCMrJFoOYgUMci4QQ6rGWZQJsWEGhwRGS7PAgRafgBgToWaXXjXaCDahBoKojIFoFagEAdiyDQXo4IdAVEZItALUCgjkX8CbRXKwJNGBHZIlALEKhjEY8CVVWFQJNGRLYI1AIE6lhErEC7UagVI1DxiMh2hSBE5OEFBOpYZEKgWa8cAh0HgXYQkS0CtQCBOhZBoL0cEegKiMgWgVqAQC2K9NyjEejpPwTaCV+3vBvBoEXtBntAQrZrxCAhDz8gUIsiJgLNEGgvfN3ybgSDFrUb7AEJ2SJQGxCoRREEikC3RUK2CNQGBGpRxEmgmeKf2YDMBTqMRbhAxzYYTX1ycaJIyHaVGCQk4gUEOldgVKCtKVMWaNae1UWgmyMhWwRqAwKdK6ARaGUQK4F29NSpfzI+BCp6Pq2NhGwRqA0IdK7AGgLtbD9evyiBtrk2LW4l0F5dww12g4RsEagNCHSuQOICVdMwFmg/KgS6EhKyRaA2INDpTWIXaDfkfHWBZv3tR9NDoAZIyBaB2oBApzdBoDMCzXrbj6aHQA2QkO06MUjIxAcIVLdJRyTZYLEQgapu2kqg2ZYCrVtEoDUSskWgNiBQ3SabCVQryKn4YhBotUzfmQjUBgnZIlAbEKhuEwSKQIMgIVsEagMC1W2CQBFoECRki0BtQKC6TRAoAg2ChGwRqA0IVLeJstfvTaDKq3apkUC7sbdl+qmplkagXSRki0BtQKC6TWQIVG1GU5ulQBtZuQk0q0GgGyIg25VCEJCJFxCobpMkBdo4r9PClEAreW4s0F6Ggw7SLk4UAdkiUCsQqG6TnQg0Q6DCEJAtArUCgeo2ESnQRlkhBNr4E4FuiYBsEagVCFS3iTeB9r0jUaAZAvWGgGwRqBUIVLcJAu0JVAGBboiAbNcKQUAqPkCguk22F2i/rC4+BDq+OFEEZItArUCguk02FGhXbAgUgaoIyBaBWoFAdW9fjsMAACAASURBVJvMC7RjysQEWjWAQP0TPtvVIgifihcQqG4TBLqJQLuhIdAh4bNFoHYgUN0mCBSBBiF8tgjUDgSq2yQJgXa0JE6gbbQItCV8tutFED4XHyBQ3SYIFIEGIXy2CNQOBKrZRN3rtxOozjubC7TTHgKVRvhsEagdCLS/elKgelMiUAS6DuGzRaB2IND+aq1AVQki0KxbGwJdjfDZIlA7EGh/dTQC7bspoEAzBLoO4bNdMYLwyXgAgXZXdzWHQA0F2glHyQSB2hE82zUDCJ6MDyIS6JdHw735yFe/2wQXjUB7GyDQXRA8WwRqCQLtrkagCDQgwbNFoJZEJND89jECjUqgmiCbkBCojuDZIlBLYhJofnieZQ8X1bAjgXa15CLQerVHgQ7HZxd7YUPwbBGoJVEJ9GTQZ0sqECzQnkAQqNGIJUbwbBGoJXEJtDgPanXI3ke0QLONBKq6LOtGgEBlETxbBGpJZALNb5YdxG8m0MYHEQm0jgiBiiF4tgjUktgEejyIX/IRdJBuf69HoKsLtJsxAp0idLarth86GS/EJtD808XF/3AvrRFo1n2FQBFoOEJni0BtiU6gyxAq0FpZHYEOm+wtRqDJETrbddsPnY0PEKgMgWaOAlVWItD4CZ0tArUFgSLQtt5tBZoh0DlCZ4tAbUGgCBSBiiF0tgjUFgSqLkKgCDQoobNFoLYgUASKQMUQOtuV2w+djgciF+j0k0nDvd9OoG0Rjc2y/lZZf7FSJwJFoCaEzhaB2oJAEWjzz1KBqp1rK9A23P4AjQ5vgoTOFoHakrRAh0Qm0KzbZG9xV6D1y0GoJgJtXiDQoITOFoHaErlA888f/rLZvJ9ub7dXVNi+tBBo1lncaaJbMwJFoDpCZ7t2+6Hz2Z7YBWoJAu0KDYHKInS2CNQWBFp7qXlpIdBM3arnEZ2oohLoYLVah1pbL/G2pztLlf5qCyLQLqGzRaC2IFBFkAh0sUCbBBCoC6GzRaC2RCjQw4c/r66ufv3w0aEsAs10cbUpINCghM4WgdoSm0Dfv1D25QdvbIuvJdDWGNYCbdauJVB1OwQaN6GzXb390AltTlwCHfwu552f7SpAoJkurjaFFQXa7Q4EakLgbDewQerDF5VAb86Lne3+Rck3xYuzZ1Y1OAm0a4q8a4yNBNqptN3et0A1INANQaCxEZNAvzw6CvOlsuDdueXPwjsKdGgl1Q3qNooxEGinO1SBtkEi0C4INDZiEuj1QJeFUq1+Y85KoB2zWApUL6q1BdrW2fqrH+p2Au201QbQSaDXXvUHAh0BgcZGRALV/Sj8TZbdtbka70egqtXWFGivtn5TCDR6EGhsRCRQ3XPvS5+Fbz2zrkCVUuraxQLVtBWJQNs/1YK5UhCBBs8WgVqDQE0Eqpoj7xpDtkCbStUU1BYkCbRqenrE0gaBxkZEAj0ewp/171rydAjf2ckRaLfpvL8+73We2lw+KdC2+OiIpQ0CjY2IBJpfDmxZnBa9Z1PFXgXaSUFtYZFAR17nvc5Tm8sR6BRhs92i9dTHLyaBfjo/GvQ3ZcHt0Z+DD6WTrCLQnhta+/QLKItjEWiGQEOCQGMjJoEW9zEdjXnx01XBL+Wd9FZ3MYUWqOoTnwLtpqC2gEBFgUBjIyqB5m/Pe3vz2VO7ChBoHQAC3ZjDn1e/Wn/fDQKNjbgEmh9eqwo9e2I7Q0UKVGnUj0B7ufaqnRHoIEsEqsX2BpET6Qk03gE0IzKBHjm8v3p9cXHx5OqNw/fZWQhUo4qhMJo6EhPoIJdxEKgeBLphpXKIT6CLSFCgvdDEC7RpKDmBfv6g8v4o0DfHfxf9ZpdfEKg9CFS0QBXtRCPQTq9U4e9BoMUXM2hY9quxXkGg9iBQBNqvBYE6Eb1At2k8ngF0AoF29+r6jyQEOshEgEDbhlIT6OkekbOLmr+dZ2ffHf/9ccmTcl7ZqPGIRtABBLqdQNXFfgWqtipDoN2NBw0lIdDTgx136ic9DC4i6bszGAjUAQQaQqCNaLrbIdC4BZrnfxw/dv69/BOBblutEBDoWgIdwatAO39pMpEi0HbLwfK5ERNO8atd5ePG8d3GhEAdQKAIVFOLBQi0w+Gf1fNxCHTrekWAQAMKtLM0Q6D1xlMjJp9Pxw+hDz4i0M3rFQECbZwRQKC97ZYKVAmyW2lbUX8pAl2fw6vixw8R6Nb1igCBNs5AoAh0JYobmr47R6Db1isCBNo4A4Ei0LUobmiy/cntAgQaGwi0cQYCRaDr8cc5At24XhEg0MYZCBSBrsjtP+weQjqBQGMDgTbOMBRoNuKGMb8MCuXLBTrWSvMXAo0TBBobCLRxBgJFoKFBoLGBQBtnINDtBdo/EYFAuyQp0KTHEIE2u3XMAu23h0DjBIHGBgJtduvuTi5OoIZYCnS8rHGDCHQ9EGhsINBmt0ag6wm0twUCNSRkttu1nfIYItBmt0ag/gU6rGRuxNIGgcYGAm12Ze1O3lPDwAE5AkWg65GmQFMeRATa7Mqz4nASqE4WgQWaZUPtDcsaN4hA1wOBxgYCbXZlBIpAQ4NAYwOB6vbnEVVoHJDvXqCaRBCoKwg0NhDomAhGTbGhQFuBdNdFLlBlGwQ6SaICTXgUEeiYCEZNgUB1pdSXhgJVN0GgJxBobCDQMRGMmqIn0LlSGlmMyQuBItA0m053FBHomAhGTYFAdaXUl0sE2p8+6e56OhBobCDQMRGMmmLkNJ4xOQKdqmRmxNIGgcYGAh0TwehOvo1A69o0gSHQ3ZCqQNMdRgQ6JoLRnXxbgVYRGpYYraN9gUAjAoHGBgIdE8HoTr61QIeX9sdLjNURWKDjSxDoJAg0NhDomAhGd3IEqiulvkSgriDQ2ECgYyIY3ckRqK7U2MsMgVqAQGMDgU7s+fqdfKlAZy3SDywBgU6s7S+fGbG0CZftxi0nO4wIdHbf7m8QmUAzrUDny1q2OPYyQ6AWINDYQKCz+3Z/AwSqKzX2MkOgFiDQ2ECgs/t2f4PlAp1pYOC53FWg/b8RqHAQaGwg0Nl9u79BbALtVORedqbU2MsMgVqAQGMDgc7u2/0NZAu0W1N/sYlAbUGg65GsQJMdRwRqro+IBDrWwBYCna0EgRqDQGMDgZrrA4EatTG5BIFOEizbzRtOdRwRqLk+vAl0uAKB7gMEGhsI1FwfCHSFCGaXz4xY2iDQ2ECgs/v2lAMQqG0Es8tnRixt0hVoqgOJQGf37SkHeFDOqRkEug8QaGwg0Nl929QBG7KaQBet3hIEegKBxgYC1ezDpvu6NxDoTkCgsYFANfuw6b7uDQS6ExBobCBQzT5suq/7A4Hug4QFmuhIIlDNPmy6r/sDge4DBBobCFSzD5vu6/5AoPsAgcYGAtXsw6b7uj8Q6D5AoLGBQDX7sOm+Hh0IVDgINDYQqGYfNt3XoyOG0GdGLG0QaGwg0HbPNd3DN7CGJ2IIfWbE0gaBxgYCbfdc0z18A2t4IobQZ0YsbUJl66PdNEcSgbZ7rukevoE1PBFD6DMjljYINDYQaLvnmu7hG1jDEzGEPjNiaYNAYwOBtntuKGX4I4YUZ0YsbRBobCDQds8NpQx/xJDizIilTcoCTXMoEWi754ZShj9iSHFmxNIGgcYGAm333FDK8EcMKc6MWNog0NhAoO2eG0oZ/oghxZkRSxsEGhsItN1zQynDHzGkODNiaRMoWz/NJjmUCLTdc0Mpwx8xpDgzYmmTtECTHEsE2u65oZThjxhSnBmxtEGgsYFA2z03lDL8EUOKMyOWNgg0NhBou+eGUoY/YkhxZsTSBoHGBgJt99xQyvBHDCnOjFjaINDYQKDtnhtKGf6IIcWZEUsbBBobCLTdc0Mpwx8xpDgzYmkTJltvrSY4mAi03XNDKcMfMaQ4M2Jpg0BjA4G2e67rHr+CNTwRQ6gzI5Y2CDQ2EGi757ru8StYwxMxhDozYmmDQGMDgbZ7rt1+7lguKDGEOjNiaYNAYwOBtnuu3X7uWC4oMYQ6M2Jpk7hAExxNBNruuXb7uWO5oMQQ6syIpQ0CjQ0E2u65ur15fD832EYcMYQ6M2JpEyRbj42mN5oItN1zdXvz+H5usI04Ygh1ZsTSBoHGBgJt91zd3jy+nxtsI44YQp0ZsbRBoLGBQNs9V7c3j+/nBtuII7eLNkhmMyOWNgg0NhDopC4QqHdmRixtEGhsRCjQw4c/r66ufv3w0aEsAkWgkkGgsRGbQN+/UPa1B29siyNQkQLtjsPkiKUNAo2NuAR6+7i359352a6CnQs0Q6CyQaCxEZVAb86LHez+Rck3xYuzZ1Y1IFAEKhkEGhsxCfTLo6MwXyoL3h2F+tXvNlUkIdBFDSJQyaQu0PSGMyaBXg90WSj1oU0VCBSBSgaBxkZEAj08z7L+AftNlt21uRqPQBGoZBBobEQk0OPHzcHxum7ZFL4Euql6EGiyINDYQKCTukCgqzU8VQ8CrQiRrdc2kxvOiAR6PIQ/69+1JPUQ3kg1rj5CoMmSvECTG8+IBJpfDmxZnBa9Z1MFAkWgkkGgsRGTQD+dHw36m7Lg9ujPwYfSSRCoFIF2+h6BViDQ2IhJoMV9TEdjXvx0VfBLeSe91V1MCBSBigaBxkZUAs3fnvd2xbOndhUgUAQqGQQaG3EJND+8VhV69sT2G5msBTrqDFkCNa/KTaC5ddm5ehGojgDZem4ytfGMTKBHDu+vXl9cXDy5euPwfXaa3VO/Fzc785QExrdJTKD5qECdckCgY6Qv0NQGND6BLmJKoNpdHYGe/hgT6Hj/zNWLQHUg0NhAoNO7uptAzbyCQLVBTY9Y2iDQ2ECg07s6Aj39YSfQuTYQ6BgINDYQ6PSujkBPfyBQPyDQ2IhcoNPPwmt33t4WIQXqaFAEmiz+s91Di1uCQKd3dVeBmngKgWoLDEZoR+xBZ2mNaNICHYJAEahk9qCztEY0coHmnz/8ZbO5oUD75tCs1Qs0bxwwrxAEqq9lesTSZg86S2tEYxeoJQjURG6DvxGoJ/ags7RGFIFOGmBvAu0GjkB9swedpTWiCHTSAKEEOlkcgSbLHnSW1ohGKNDDhz+vrq5+/eDwKLx/gY64ZE2Bzl8KM64ZgQZmDzpLa0RjE+j7F8qu9uCNbXEEOt1mjkCDsgedpTWicQn09nFvV7xj9X30qwt04EGdQPt15LqCYwEYrBzJYkrdo2tyC4EOt9e1MbYegerYhc6SGtKoBHpz+jLQ+xclpy+kP3tmVYOpQPP+HwM/uAq0XGUu0P42w5BXE2iOQEODQGMjJoF+eXQU5ktlwbujUK3uo09PoONZINAI8Z5tiO5NakhjEuj1QJeFUq1+FGkdgbYK7G+DQPvbIVAbEGhsRCTQ4jeM+wfsy38XHoG2VSHQ0CDQ2IhIoLrn3ld/Fj7v7tHxCnSsckeBtlF31uYIdFV2IdCkxhSB6vb9eo/OEWjTyqAsAl0fBBobEQn0eAh/1r9rafVD+I5Ayy20pvEhUI20EGja+M42TO+mNKYRCTS/HNiyOC16z6YKBIpAJYNAYyMmgX46Pxr0N2XB7dGfgw+lkyQj0KZ+bRYTlVsKtNMRKwo0R6A69iHQlAY1JoEW9zEdjXnx01XBL+Wd9FZ3MekFOjTgiEAbPdZ/zwh0WP1QoLlSrFePq0A7UWnKj4BAw4NAYyMqgeZvz3u74tlTuwo06a4g0HYrN4EOLaSsH35ElirQfi8Mk1eXI1ANCDQ24hJofnitKvTsie03MqUj0LalwALNOwsytQ6tQOtOQaAaEGhsRCbQI4f3V68vLi6eXL1x+D47BGoq0I4e8xyBesFztqE6N6FBjU+gi0CgBgJtUmsyy3N3gWoCQKBjINDYQKBhBaqVpACB5qMC1X9GHSafGQi0qb4bx8yIJQwCjQ0E6kGgnS0QaLO8rb4bx8yIJQwCjQ0EOhBou6RcPZCPlUDbZtRVfgWa91dqESDQpj8nRyxhdiLQhEYVgboItFZW3ALt17yRQDsZ1A3kTWv9KqMW6OH1D/e/+9f26ubS72rYlnB9G9eoToFA9QLNB3roGUKyQDsbZJmDQHv5572om0g6PYRA/yhvsmtvr0Og0lpeGwS6mkDzrO+QEYE2pdcXqFIvAvXOdZNm/Z0NCFRay2uDQJ0EmrfO7DhySqCqi9YVaN43kKFAu1WvLNBcs0XaAi2+q+HOyw8fXhX/ltpEoPKaXhcEmqJAlUU+BKo01U1+XwK9rj95Fj8eWxoUgcprel0QaLlY9VOzrLtqI4Hmw3ZcBVo3qya1iUDrV53M9i5Q5Sdnij9PLkWg8ppeFwRaLlb91CzrrkKgeS1PBKpBlWX9RbXTAs00eAm1ad9na3LaXhMEWi5W/dTZtCevdo4Pd3itQ5SW1R2ka6y8vzNNCDTvLO5k0NSrRO5PoEpIdfJtHzaK3IdA69+LRaAS214TBFouVvwytsqrQPPO/3o7WNdWbZhNvUrk8gSaq3kr2Q76c2rEBNKV5afz4ru+OYSX2PaaINByseKXsVUINN9QoO1WRiMmkN7Pbt9k2Ve/iRZo2K6NZ2AnQaDlYsUvY6tWFmjz/+AC7WhMEWinYgQ6y3X3B7qOL7/6XwhUZuurgUDLxTIE2rSGQGdGTCLFfaAP/mpfX56SQ6ASW18NBFou9iPQdoFOoEpr+xWo4YiJ5Lrny1cIVGrrq4FAy8UINJRAlSp14xPVfvb2vOvL4je8EKjE1lcDgZaLdyzQtvSaAm0rMhWofnzi2s8O737s/NDM4dW5WIEG7tm4BnYUBFouthdoowV1U1kCrSNSXKoItGl0IFC1qzYRaNtAYgJdyo4EGrz9dUCg5WJZAs0bB7W+6gg0z7uxbCDQXsVLBJpnCNQMBBobCLRcHIlAu4Ep9WsEmquqW0OgbY0IdCP2JNDwAawBAi0XSxVobizQ9nPpIAEEGgsesw3fseEjWAEEWi6eEWi+tkCVcCYE2mw0K9C2ssACbdpEoA7sSqASQlgMAi0X70CgTUxWAm02QqAeQKCxgUDLxc3+PSLQnh5zZYG6ad5YBIH280eg8+xLoCJiWAgCLRebCFR5Ua2JQ6CKID0LtBsGAp3FX7Yi+lVEEMtAoOXieYHqXsQoUF0jdgLttY5A1wOBxgYCLRdvLtC8f0zbhLOWQJsIhykj0EjYnUAlRLEIBFou3kCgg+bWFaimurb1XhsINBJ2JlAhUSwBgZaL9yTQ5rVPgQ5jQ6BD9iZQKWG4g0DLxQh0oUA7jSNQR3YoUBlxOINAy8UIFIEKYHcCFROHKwi0XJy+QNWVCFQoCDQ2EGi5WIhAh25bSaDdlesIVI3DVaDdABHo7gQqJxA3EGi5WIxAlU+LmgCnq8sHksoRaFR4y1ZOtw4mbFwg0HIxAhUh0CFx71627FCgkkJxAIGWixFoMIH2/x6Gvx/2KFBRsViDQMvF6Qq0aWdlgXbjQKCrsFOBCgrGFgRaLjYVqLJBaIFq00GgUeMrW1m9KisaOxBouXgvAlWq6zSCQEWAQGMDgZaL9YJqVinFbQQ6176tQOfTQaBRs1eBigrHCgRaLpYj0GbptgLtlZ8XaLdFBLoJ+xSotHBsQKDl4lGBdvb71ATaKYdAw+MpW3GdKi4gYxBouRiBLhNot3EE6ggCjQ0EWi5eT6D5lEB14SQg0H7jCNSRvQpUYESGINBycdYeiOpWKsWjFmg30m65zQXaW4RAhyDQ2ECg1WIEikDD4ydbiX0qMSYTEGi7xkyg6nKJAh1tZ3uB5gh0IQg0NhBou2ZVgZqHg0ARaA0CjQ0E2q5BoGP5D+tHoJuAQGMDgaorEai2MAL1xX4FKjOoeRCouhKBagtPmw6BrgcCjQ0Eqq5EoNrC2wjUaEWs+5UjOxao0KjmQKDqSmuB6vQRr0DHgkSgvvCSrdAuFRrWDAhUXekg0OECBIpAXdmzQMXGNQkCVVciUG1hBOoLBBobCFRdKUigwxgQaPog0NhAoOpKBKotjEB94SNbsT0qNrApEKi6MjaBjtQ4thSBSgeBxgYCVVdaClRffiOBmo0VAo2aXQtUcGTjIFB15X4Eqm1grEoE6gsP2QruUMGhjYJA1ZV7EahuCwQqgH0LVHRsIyBQdSUCnVuFQDcFgcYGAlVXjqzdTKBKPR0N6UNDoMmDQGMDgaorAwp0agEC3Qs7F6js4LQgUHUlAp2rEoFuCgINHYEtCFRdKUOgY6EFEuhc/Qh0PRBo6AhsQaDqSgTqUD8CXY/tsxXen8LDG4JA1ZUI1KF+BLoeCFR2eEMQqLoSgTrUj0DXA4HKDm8IAlVXIlCH+hHoemyerfTulB7fAASqrkSgDvV3BKrUhkDtQaDC4xuAQNWVc7Ej0OnNEOhCdi9Q+QH2QKDqSgTqVn9/LQJ1BIGKD7AHAlVXxi/QySYQqHS2zlZ+b8qPsAsCNVw53AKBjq5FoI4g0BhCVEGgzsUR6OhaBOoIAo0hRBUE6lwcgY6uRaCObJxtDJ0ZQ4wKCNS5OAIdXYtAHUGgkQTZgECdiyPQ0bUI1BEEGkmQDQjUuTgCHV2LQB1BoJEE2YBAnYuvJVCzhhHoHkCgeSxRVkQk0C+PMh1f/W4THAKdaMC8ppm1CNQRBJrHEmUFArUhrECXFFf/mdjCtKaZtQjUkW2zjaQvIwmzJCKB5rePEahrcfWfFWqaWYtAHUGgeTRhlsQk0PzwPMseLqph3wLdHAS6kE2zjaUrY4nzRFQCPRn02ZIKEOimINCFINCCaALNYxNocR7U6pC9DwLdFAS6EARaEE2geXQCzW+WHcQj0E1BoAvZMtt4ejKeSOMT6PEgfslHUAS6KQh0IQj0xK5D3Tj3TxcX/8O9NALdFAS6kA2zjakjI4o1OoEuA4FuypxAZwvarEkRBHoiolgR6HrFESgCXQgCLYknWAS6XnEEikAXgkBL4gkWga5XHIEi0IUg0JJ4gkWg6xVHoAh0IdtlG1c/xhMtAl2vOAJFoAtBoCXxRBu5QG2fTEKgm4JAF7JZtrF1YzTxIlAb5gRa/YNAbRtEoCUItCKaeBGoDUbFESgCdWWrbOPrxVgijlyg+ecPf9lsjkA3BYEuBIHWxBJx7AK1BIFuCgJdCAJtiCRkBLp6cQSKQF1BoA2RhJy0QHW/ALKwQrNWFzWyQZ0INBI2yjbKTowj6AgFevjw59XV1a8fPs6HgkDr4msFYtYOAnUEgbbEEXRsAn3/QpHhgze2xRHopjgLdL7KfbBNtnH2YRxRxyXQwe9y3vnZrgIEuikIdCGbZLvFhPRAHFFHJdCb80Ka9y9KvilenD2zqgGBbgoCXchGAt2gUg9EEXdMAv3y6CjMl8qCd+eWPwuPQLcFgS5ki2yj7cEoPjnHJNDrgS4LpVr9xhwC3RQEuhAEqhKDQSMSqO5H4W+y7O781fgWBLopCHQhCLRDBKFHJFDdc+88C29YfK1AzNpBoI7ImzphkR87Al0dBIpAXdlgd4y6A+UHH5FAj4fwZ/27ljwfwhu2gUARqBtbCHTtGn0iX/8RCTS/HNiyOC16z6YKBLopCHQhq2cbe/ctfnhwa2IS6Kfzo0F/UxbcHv05+FA6CQLdFAS6kLWzla6feaRnEJNAi/uYjsa8+Omq4JfyTnqru5gQ6LYg0IWsL9B16wvA8m+w2JSoBJq/Pe89ynn21K4CBLopCHQhK2crWj2mrPAlQBsSl0Dzw2tVoWdPbC4gFSDQTUGgC1ldoKtWF4w1vkltIyIT6JHD+6vXFxcXT67e2NozR6Abg0AXsm62CfWdWIXGJ9BF7FSgvkCgC1k120gmjTEiHYpAN2gDgSJQN1YW6IqViUCgQmMV6Jcf7n9r9T1MJQh0U5ooEagbK2YrTjXrIE2h0QrU8hnOCgS6KQh0IWv2W6o9JyszBLo6CBSBurJatpFMGDckfQpFoKuDQBGoK2tlG8l8cUXQNXkEujoIFIG6slK2UuyyHWIUikBXZ4s2RMyVeTZ561i9SsGsk20ks2UpIhyKQKMg/EQxAoEuZI1sBVjFFwI+hyLQKIhkn0CgC1mcbXijeCZ0wgg0CiLZKRDoQpY+sbsze54Im3WsAnUk1ukVyX6BQBfinm0m4HA2GAETR6BREMmegUAX4pjtru1ZEC57BBoFkewcCHQhLtnuXZ4loboAgUZBJHEj0IVYZ4s9G8L0AwKF9UCgRw4f/ry6uvr1g8PX1Vpniz0VgnQGAoX1QKDvX2QtD97YFrfLFnv2CKBQBArrsXeB3j7Outyx+s1Yu2z59Dmk6fjOiy27CYHCeuxcoDenH+y6f1Fy+tHYs2dWNZhnW2mh/l/5UnlVvijtkYlnPERNCmpnKYuqFRONrD8KCBTWZN8C/fLoKMyXyoJ3R6HaPe5hmG1rBATaLFL6ri2rvlTLrjEK1tsa1rh2hWsS0e4YI/sW6PVAl4VSH9pUYZJtbQIEOirQXO2dtoN65ReNgsu2hjWuXeGaRLQ7xsiuBXp4nmX9A/abLLtrczV+JtuOAxConUA7Hajp57EAFo2YA6InfDy7Y5TsWqC6r2eY/soGk/11fBMEai/QsV63ijUftLMqoid8PLtjlCBQg2Utmr3z/zPntHH9v7Ks8qp8Uda5VBnbMx6iJgW1A5RF3c5re6fuEsueNWbteSR6wsezO0JJPCN2PIQ/69+1tPIhPIiDT6AgmohG7HJgy+K06D2bKiLKFk4gUBBNRCP26fxo0N+UBbdHfw4+lE4SUbZwAoGCaGIasevidNzZxU9XBb+Ud9Jb3cUUVbZQgEBBNFGN2Nvz3iWQs6d2FUSVLeQIFIQT14gdXqsKPXti+41McWULCBSEE92IHd5fvb64uHhy9cbh++yiy3b3IFAQzb5GbF/ZpgACBdHsa8T2lW0KIFAQzb5GbF/ZpgACBdHsa8T2lW0KIFAQzb5GbF/ZpgACBdHsa8T2lW0KIFAQzb5GbF/ZpgACBdHsa8T2lW0KIFAQzb5GbF/ZpgAC6kpJ8wAAEm9JREFUBdHsa8T2lW0KIFAQzb5GbF/ZpgACBdHsa8T2lW0KIFAQzb5GbF/ZpgACBdHsa8T2lW0K7E6gEBuh54xPQvc12LP6HFi7wjUJ3dlgT+g545PQfQ32rD4H1q4wJnzu7h7bSrOpRFm3B1ceD8nBCZl6MqIIBAKNqKlEEW0VycEJmXoyoggEAo2oqUQRbRXJwQmZejKiCAQCjaipRBFtFcnBCZl6MqIIBAKNqKlEEW0VycEJmXoyoggEAo2oqUQRbRXJwQmZejKiCAQCjaipRBFtFcnBCZl6MqIIBAKNqKlEEW0VycEJmXoyoggEAo2oqUQRbRXJwQmZejKiCAQCjaipRBFtFcnBCZl6MqIIBAKNqKlEEW0VycEJmXoyoggEAo2oqUQRbRXJwQmZejKiCAQCjaipRBFtFcnBCZl6MqIIBAKNqKlEEW0VycEJmXoyoggEAo2oqUQRbRXJwQmZejKiCAQCjaipRBFtFcnBCZl6MqIIBAKNqKlEEW0VycEJmXoyoggEAo2oqUQRbRXJwQmZejKiCAQCjaipRBFtFcnBCZl6MqIAAIgQBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwJGGBfjrPnlkVuH1xnmVnD35bWs9mvNcHOIP4tPbHyJDUfHn01e9L65lpYtOw5mo7vL6fZdnXVsFNxPbuh6K2Jx8taluPdAX65VFmZ4i3xxEqOPv7snq24vAqq3hoU0x6WjtkZEhqDs8zM1NN1DPTxKZhzdVWr8my71eo7RhWtSrIdE5XoJeZnSFusoZOMdt6NuOyDdDCoOLT2h9jQ1JxOA6Nkakm6plpYtOw5mpT1mT3FtfW+DPQfE5WoDeWPVp8IrtzPEB4/7g7T2zr2YzjIXdWHMHcHmfM2c+mpcSntT/GhqTiZAQTU03UM9PEpmHN1XZa8yYvVxlO5InYro+VFEfv/35cdTfAUXyqAi26fMYQxymh9Ph13f/FTGk/4RnU44nr5v36cvIjaGRp7Y+RIal4dzpWNTHVRD3TTWwb1lxtN808LlaZfQQdr+24oJLwcUqbf65Yj0QFWpyv+e82Am0Hovio1yw3qccTl02AN5PzLrK0dsfIkJTcHj9HZQ8em5hqop7JJjYOa7a2y3bemQY3Udvxdb0vXAeZ0IkKtOhMtUMPb4vrft++7E2zdiyO71/1C2W4BvUERCfQBNLaHSNDUlIckD41u1ozUc9kExuHZROBstUKtV0i0NU4vi89VN+RPtXX/e4ot0F0TKN+qmtHol9PSDqH8GVAKaS1O/RDUnF99v1Hw8vdE/VMNrFxWDYRmArUqLZjZVZ3Wa1EkgItHXKtCqNG6eO+aZpzK03Bfj1BKU5bni4ivahPCCWR1u7QDknN52LkjAU6Vs9kExuHZRPB9Lkoq9oOr8+5Cr8a5dFu09Wna3gviwPec3XEOqZRx6UZr149gTmdiCo/cJ7mcSJp7Q3tkHQwM9VEPfNNbBeWRQTGl31mazvd4Xf21DC4VUlRoFUfN91+09zgUA2Zeidalg10Uo9Rv57Q3Fa3vD0ok0klrZ2BQOv6Li0uwhsI9OunIZ5FSlCg9ZmVptvbyy9V95uZZlBPYK7bgE/vtYmktTcQaFWd+Y35c7Ud/uv9H4rTWdwHugqX1bjU3a6eqi7vejAzTb+ewBT+/P6vPP/8qryDM5G0dgcCrWszvm/TKJ/iDJfpg00rkp5Am95WBKqi3gw5dbJwUE9YlGfX357eutNIax80Y3VUBgItuDV/DMk0nzB30icn0PbO2rrblYvV46YZXOgb1hOWwa0caaS1D1SBzl9SlncV3iIss9qK6553jG86Mszn2vJrdlYhOYFeZ10ejj7vMH3D5LCesKgT5zqdtPZBT6AzNzXKuw/UIiyj2k6no8xPWBrmY/phe1V2INCxO2ynH9mRZprBYUwaae2P+cdq5D2JZBGWSW2vLCeeYT4IdA2GhihOV2vvvZ18aFyaaQbvwmmktT/mH1Q3M5XPZ+EtwjKo7drm68RmalMP24M8y5mcQFvUyyVf/dYsa/rb6GuLciknCz+1T1rcNFfY409rh8x+VZKhqbx+G5N5WLO13bTzdnltx92iduu11feVrsUeBFqcgTor7rIt7gCa+GKD09cUDr9yUIhpipuFm9uYig+jaaS1P8aHpMLQVBP1zDaxYVhztblcLB+v7XQ3VLETFE84hzie2oNAOzdIjvbx6JdeCzGNettSeQEzibR2yGBIek4xNdVEPat8I71jWDO1dU8iGbp0PLZbZbcIcBvoPgSa3zS3/Ey8R/0x8rMrUkzT/nhBfYieRFo7pD8krqaaqGds1H2ENVmb+hMc5gKdiK39igiL6/rrsQ+B1r8D+OSvqQIjP/wnxzTvfzgF+KZZkEZa+6M3JM6mmqhnhV/lXCbQkdp6z38YH81PxFb+Kqftj9WuRMICBQDYFgQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQN748yu5+LP+8felSQVnq8Dz76vf1ogIPXGedMbvJsoe2VXx51NZwnAINz6plty/Os+zswW9tieGSifBq7j/5yzayvDO1NQxmbLt5M6XPfnZoNp9MUr9K7cf+EqUfCh5WsQ36eiEI1I1m2hxe2e8/bSkEGh/Fnnmvfekg0M6oH2dSf6d+e16+PPt7vdFwyWR4DWdPLUPLnQWqTGlHgU4kqV813HuUJTqBavp6KQjUjWaWuXwAaUsh0Pi47u5+9hPgcKl+hr3J+jv1zWAvHy6ZCW+JJxwFqkxpN4FOJKlf1e3H/hKdQId9vRgE6sZKAoX4OO2ZHQHaDeXpOLItf93fl4uPSXeOx6rvH9ebDZdMh1fVd3h33H7ChSNMC3R086UCnUhSv6rXj9olJdf1IcOgr5eDQN1AoLul/GjTHMTbDuW7866AL/u7/HVtvcIHD/VLpsNrJHGcpfYyCyTQiSS1q/r9qFtSctO8jQz6ejkI1A0EuluOu/N3562l7Iby9vghKnvwuN2Rj07o6koR0Kfz07rhkpnw2k9Zlw4fucIIdCJJ3apBP2qWtAFWxQd9vQII1I1q2tyoJ1QOb+8f//z2ZTVGl8ct3n1zXFBcOvz8ulh39u3pQmVbqj2jdHj3g1L4tPzw+hv1ymNZ/ddOV1ZhPY6Geqhcie8LVD3PVgz5z/3CZ0/V84jHiXSvs4Xir8ocwyUz4akCrTfvTEDt/MpvXxxffv+xbK4p2frnFGobe2fzzpQ+bv/2G81F86mumUhSt2rQj5olTR/UAzTo6xVAoG5oBPqpulJ4Ol2TnwT6tp4n7RntbqlmwE/vn23hYvn/e65UrlTPZ9ewFAItjiWrfdFSoEfldC7EHDd/dlu+dzYLmr28/AA5XDITnnoIX6mnOwF186ve5O5/nApd12ndZMpfyoztbt4V6L9dVsl3Y53qmokkdasG/ahZ0pSu9Tvo6xVAoG4MBdoKrhrDy+zr06J73SuCD3UCVe6vOL1Wb1grJ9oGd2CAEye1fGoO4u0E+rnW1+9NbWd/qzZ9MDgndF0LtLdkJjzlIlLVfG8CauZXu8n/dpraxwSbCy/VX6cziHXsvc27Av2muyeYdM1EkrpVg37ULCk7Qfk4O+jrFUCgbgzOgZ6uFL4sDrTPqwlXvAvf/a1e931x5P2+vizav43puO3Zk+Mb6Ouq8GmCnz39WNxdV256nDl33hz/vX3ucmUV1qP8bNYcxC+8D/RSMcppXFV73NRN9ZbMhNdSHQwNJuBwftVXuk93XN5tP8udtjwFVk75anl/886Urqr+Z2bRNRNJjq6avA+0Lax+fO329QogUDcGAm2PFOqTRpfNkvYY5Pi+fhrgnkCPi6u3yeqvYhZWM6GaAc1hDbeOBqYUaHNBeJlAi2qKt87TGcX6nXI9gVY30g8m4HB+NVe6i8/WxV/XzZHPRfnXccXDJvbB5h2BfvWbWrURGwlUvQ9h2NcrgEDdGAi0PV1fL7rUDNKxmE6gyky77O6ezYXH6/rjLASmOjtYv+ktE6iyg1efaVcV6MBg1QQczC/lSLdyY+nLY4PFydJneW3UMvbh5h2BdqeuERsJVD1/OuzrFUCgbvQFqt77UZ0+Gpzv//znP84zrUCVTcvCwzs3TuePzr77V47eQ1NfXrlurgguepRTXVrMghUEWp8Dfd/7pNVOwMH8qt/ZmwX1jL4+XSa619wDVMY+3Fx3G1N4gY7dtVD19QogUDc0AlUp1imfSYublOprTBqBqsM8+EBQz8L6BM4Z9zGF5br7UcvuIlJeldR9/rke0aWrQHPlk1ZvAuoEWruu/rO+ZvTwdENe/Ym0EWh/cwOBTnXNNgIdVfi1/dueHgTqRl+gyjV4jUDVtXqBqvcF6gV6usBUwn1MIWn2vfIgfj2B3gyEvOwqfF6+r3dusRsTqGIaxYjPihfPyoP3m7JEGbt+8yUCtbwKn+e5iUBHPbnakywI1A2NQPtvda1Ay4+nX3/740//oT0HavQJ9Mi7Fxg0PO1OeTqI30Cgq90HWh+qDiagySfQ478Pi1OgJ10+Kz+GbvcJ1PI+0Dq7aYGOP3eAQAOjOYTv7xOX6inr9n6SmXOg5WwZnYWff3mRcR9TUFqBng7iVzsHWqlv1SeR2vOq3QlocA60POl5Wa28Vz/Fs9U5UMsnkepX0wIdD2C1rxVBoG70Bao5K90IVBn1G/1FJN1V+O4s7F645T6mgCiHhcVB/L8sEqhSWXWReCggOyX1D+GPRYcTUDe/lCeSyjaOR+7/9ry6oaR4qO5ZG7tm84UCnSg2umpWoN0j+GFfrwACdWNwG9N1c/dbPVAagd4+0gtUdx9ob850nuhFoAG57p6Sczijouzm9Y3B+em7LO9Vda71bUzVRaThBBzOr6aN4nC/ucXz/2zuYPpbfTWqdx9os/lCgVp/G1NuINDLjiY1fb0cBOqGKtD6jNHp+Yv886usvpG+Hr3L8giqvAxU3zyonFHqPomk/9BRnD9qHiZZ/SsRwBxVoOXJxaU30hfTphjWcshPD/m8GXwf6Bvr7wNtbxgfTMDh/KrbeNc8WlQ+U3Rq73QN6p4a+3BzZUo7CXQiybFVcwIdnhHt9/VyEKgbjUDL65vPumfIe7fWd06e1091ZDPPwo/dxpStdg8wONE5LrxZKNDO9fGHSp0ly7+Rvj7g6U5AzfxqtvnPzSnHy0z5dNB7EG6wuTKlnQQ6TLI9zh7Jf06g/S/m0/T1YhCoG+1vIj2vh+Omd5uRcvzwqp67T6pzR3WpZsCH38Y0uI2p+f6HOyu9eYIT3RNrlwsFmn+qR779vZ8/Br8ANFwyFZ7CnbKd/gTUWa763aHq65UK2i9ian8qo4m9v7kypd0EOkhSOVGpz39OoIP2NX29FATqRvvmdiiOk74//fW684Wd6gmY05d9fv3kY3NLRlWqHfD6+0DL7bWz8H3xy4Tt941CGLoCLT6cLbsKf6gmh/J8xEq/yvn1gzf10t4E1M6voo3mCz7r3J7Vld7rx97fvJ3SjgLtJ6le6dHmbyDQ3skuTV8vBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADiCQAEAHEGgAACOIFAAAEcQKACAIwgUAMARBAoA4AgCBQBwBIECADjy/wMRY2+ezLfDfAAAAABJRU5ErkJggg==" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.007282260
## Lag 250   0.003073685
## Lag 500  -0.022845613
## Lag 2500  0.012064391</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.002370036
## Lag 250  -0.007451323
## Lag 500   0.020229113
## Lag 2500 -0.001642737
## 
## [1] &quot;ML_female&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.006082399
## Lag 250   0.043749231
## Lag 500  -0.022602645
## Lag 2500  0.013744931</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.009043006
## Lag 250  -0.028408726
## Lag 500  -0.011411947
## Lag 2500 -0.027823077</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.01249531
## Lag 250   0.00362340
## Lag 500  -0.01245926
## Lag 2500 -0.01007524</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50   -0.01045463
## Lag 250  -0.01327074
## Lag 500   0.02691488
## Lag 2500 -0.01069294</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.004769274
## Lag 250   0.007681683
## Lag 500   0.012314967
## Lag 2500  0.016864024</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50   -0.01354404
## Lag 250  -0.03518280
## Lag 500   0.03341221
## Lag 2500  0.05258542
## 
## [1] &quot;ML_male&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50   -0.01143246
## Lag 250  -0.02790751
## Lag 500   0.01943312
## Lag 2500 -0.01100006</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50   -0.01720265
## Lag 250   0.02354488
## Lag 500  -0.03875478
## Lag 2500 -0.03142527</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50   -0.0003643469
## Lag 250   0.0124727586
## Lag 500  -0.0418821888
## Lag 2500 -0.0382383373</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.008422985
## Lag 250   0.025907010
## Lag 500   0.014076993
## Lag 2500  0.032183764</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50   -0.0010822849
## Lag 250   0.0002096533
## Lag 500   0.0472556567
## Lag 2500  0.0153120176</code></pre>
<p><img role="img" 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87xcNEg0EECbbYjaWWrgkDriNIBNa5fKrcZP3prO7uHiwaBDhJosx1JK1sFPfGAuiEsgXYe13DP7iomH5cMAh0k0GY7kla2Cgi0iSgdsOG2uAj04XnJNw7v9PBwySDQQQJttiNpZdvQyjugbghJoMWF86+UCR+4E8m/eoQJtNmOpJVtQzvvcPohJIFedXTJvfD+1SNMoM12JK1sazpph9MPAQnU9KwwnsbkXT3CBNpsR9LKtgaBqhGlA1aYHhXGA5W9q0eYQJvtSFrZ1iBQNaJ0wAoEGkQ9wgTabEfSyraim3U4/RCQQI+78J1nL7EL7109wgTabEfSyrYCgWoRpQPWXHRsmR8WfdBT2oiHCwaBDhJosx1JK9sKBKpFlA5Y8+nsaFD1AUx3L4YfCGp6SeJirXMFgQ4SaLMdSSvbCkPWwXRESALNr2M6GvP858ucX8sr6YeuYkKgG9QjTKDNdiStbCsQqBZROqDC+7OWDnfP7AJ4uFwQ6CCBNtuRtLKtQKBaROmAKvs3qkJ3T22fyOThcklHoE4t2L7Za5JWtidMSQfTEYEJ9JC/0uPyzfn5+dPLtw7Ps/NwuSBQ+ZmCJa1sTxiTDqUnwhPoLDxcLAhUfqZgSSvbEwhUjygdUBL7dBdfkAhUfqZgSSvbEnPOofQEAhWfQ7wCmSZsPyIR6ChpZVuCQFsRpQNK4q9AB+pBoMmQVrYlCLQVUTrgEMvfC49AxUCgo6SVbUFfyoF0BQIVn8OtAgQqOFOwpJVtAQJtR5QOOAQCta1nQxDoKGllW4BA2xGlAw7y+eYvm+IIdEMQ6ChpZZvTm3EgXRG6QC1BoBuCQEdJK9uc/ozD6AsEKj6HWwUIVHCmYEkr2xwE2okoHVASBLohCHSUtLLNQaCdiNIB2+xv/ry8vPztxuFWeAS6JQh0lLSyzUGgnYjSATWuXypPY3r01nZ2BLohCHSUtLLNQaCdiNIBFe6etJ4Hem/gefQmEOiGINBR0so2B4F2IkoHbLgtHgb68LykeCD9rv2m+GEQ6IYg0FHSyvawwrBfmpAE+uWHozBfKRM+HIVqdR09At0SBDpKWtkeEKgponTAmquOLnOlDr0UqQMC3RAEOkpa2R4QqCmidMCK/Yssa++wL/9eeAQqBgIdJa1sDwjUFFE6YIXpvnfuhbetZ0MQ6ChpZTucbxh9gUDF53CrAIEKzhQsaWU7km8QnRGQQI+78Lv2VUvswtvWsyEIdJS0skWgxojSAWsuOrbMD4s+sAmBQDcEgY6SVrYI1BhROmDNp7OjQd8pE+6O/uxslA6CQDcEgY6SVrYj6QbRGSEJNL+O6WjM858vc34tr6S3uooJgW4JAh0lrWwRqDGidECF92etWzl3z+wCINANQaCjpJXtWLoh9EZYAj3s36gK3T21fSITAt0QBDpKWtkiUGNE6YAt9teXb87Pz59evnV4nh0C3RAEOkpa2SJQY0TpgJIg0A1BoKOklS0CNUaUDigJAt0QBDpKWtkiUGNE6YCSSApUqOsQqPxMwZJWtgjUGFE6oCQIdEMQ6Chka1dgexCo8xwIdI0WbN/sNSFbuwLbg0Cd50Cga7Rg+2avCdnaFdgeBOo8BwJdowXbN3tNyNauwPYgUOc5EOgaLdi+2WuSVLbjyQbQHQjUeQ4EukYLtm/2miSVLQI1R5QOKAkC3RAEOkpS2U5I1v/+QKDOcyDQNVqwfbPXJKlsEag5onRASRDohiDQUZLKFoGaI0oHlGSuQNVPCHSNFmzf7DVJKdspufrfHwjUao5M+YhA12jB9s1ek5SyRaA9EaUDSoJANwSBjpJStgi0J6J0QEkQ6IYg0FFSyhaB9kSUDigJAt2QRAS6v/nz8vLytxuH530HmK0zk1L1vz8QqNUcCHTtFmzfbCuuXyqvnHn01nb2wLKdAwLtiygdUJJ4BdpbqPpi+7EYv0DvnrReenjP6qXbgWU7DwTaF1E6oCRJCnS0gpWIXqC3xRsPH56XFG/d3j23ihBStjNBoH0RpQNKgkA3JHaBfvnhKMxXyoQPR6F+9btNiICynQsC7YsoHVASBLohsQv0qqPLXKmPbUIElO1cEGhfROmAkiQm0HwiAl2J/Yssa++w32bZfZuz8eFkO5tpqXrfIQjUag4EOoPIBXrc3Ozsr5umDRFOtrNBoH0RpQNKEolADYUR6NYgUCsQaF9E6YCSeCvQDIEKzrQJx134XfuqJXbhe0GgfRGlA0qCQDckcoEeLjq2zA+LPrAJEVC2M5mYqfcdgkBHvkKgYsQu0E9nR4O+UybcHf3Z2SgdJKBsZ4JAeyNKB5RkUFPG7xCoGLELNL+O6WjM858vc34tr6S3uoopqGzngUB7I0oHlASBbkj0Aj28P2vdyrl7ZhcgqGxnMTVT33sEgTZfIdBlaVpg0Zbtm23D/o2q0N1T2ycyhZXtHBBob0TpgJIg0A1RBTq5Mds325L99eWb8/Pzp5dvHZ5nF1y2rkxO1PceQaDNV6sJVJtzmkDbzRiOqc+5pEBtoqYhUAsyA1u3aSUQaH9E6YCSrCfQoW9tBHqcvr5Al/Fb0xAEWoBABQtuBAJtvkKgg8FmlkSgE0gmWwTaH1E6oCQIdBIIdCOSyRaB9keUDigJAp0EAt2IVLK1yNPzLkGgzVcIdDDYzJIIdAKpZItAByJKB2yz0FsPEehIsJklEegEUskWgQ5ElA6osdxbD0UFOnw+FYHGKND88fMGeJydAQQ6EFE6oMKSbz1EoCPBZpZEoBMIJ9t5INCBiNIBGxZ96yECHQk2p2Sm5BCrQLs/7wi0h2XG4iaEJNBl33rYL1BNmgjUpWQSAj3sX9g+falNSNnOAIEORZQOWLPsWw8R6EiwOSXTEGhhULtdohZBZesOAh2KKB2wwjQ6BV+ZYCdQfbIp2GICNVeNQH3A9h1IbcLK1hkEOhRROmDFwi/tchFob7hs0KAINFaB5r/oc3biA8vWFQQ6FFE6YIWXAu3V3pBBEWi0Aj3uJs3ZBA0sW1cQ6FBE6YAV+2XferiaQFvfIFChpvjBp/Pzf3efO7RsHUGgQxGlA9ZcLPrWQwQ6EmxOyXQEOo9EskWgQxGlA9Ys+9ZDBDoSbE5JBDqNRLJFoEMRpQM2LPrWw5kC1edGoO1iCHQKiWRrlabffRKUQBd96+FsgepWRKB6MQQ6hTSytcvS7z4JS6BLvvUQgY4Em1MSgU4jjWwR6GBE6YAtlnnrYa/wEKhESQQ6jTSyRaCDEaUDShKXQNV5EGgMpJEtAh2MKB1QktgEqk01zjxHoBNm6S/S7g8EOoE0skWggxGlA7ZZ5In0qQh02vLuEejUIwfdbxDoNJLI1jJJv/skNIEu9UT6tvDqD+sJdFDgGwi02yKjQPt7tF0MgY6SRLa2SXrdKWEJdLkn0ncFqpmyZ3JUAm0HExJoFQuBTiCJbBHocETpgA0LPpHeR4Ge1NMOhkDjJYlsEehwROmANUs+kX6SQJVCoQm0ioBAvSaJbBHocETpgDVLPpEegSJQD0ghW+scve6UgAS6f7HgE+kRKAL1gBSyRaAjEaUDViz6QOUpAs0EBHryYadJawq0pxMQ6PakkC0CHYkoHbACgbZbtJVAtZLjAs3q/zTtR6BGUsgWgY5ElA5YsV/yifSxCrRqo7BAW2mbIiJQB1LI1j5Hn3slIIEu+kR6BDpdoFknbQQqRArZItCRiNIBa6yfSJ8ZGCranrP8C4G2SiDQxUghWwQ6ElE6YIPtE+nnCrQWmDqx+stFoKf5ECgCNZNCtgh0JKJ0QIXlnkjvnUCrem0EalAwAg2KFLJFoCMRpQOqLPZE+mUE2jUQAkWgA6SQLQIdiSgdsMUqT6QXE6heX9ACrT8j0MVIIFuHFH3ulfAEOguDYqp//RJovf2KQKeWjIEEsnVJ0eNuQaCNFBCo9icCXZ8EskWgYxGlA0qCQH0R6NSB5/G6swAJZItAxyJKB5RkXYF2NBGOQLO2QJVGzBFo3W9KewbxeN1ZgASyRaBjEaUDDjH7XnjvBKq4cRWBqhkMtVNMoFmGQHuJP1unDD3uFgQqIlDDBqSzQOt/lhNoa77WX1lmaCcCXYP4s0WgoxGlAw6BQNUw6wq0inswjyIE6kD82SLQ0YjSAQf5fPOXTXEBgdYKOsmp9tOqAlXL1mEQaOjEny0CHY0oHVASBIpAfSb+bBHoaETpgJIg0BUEqqsRgVoQfbZuCXrcLQg0VIE2Hq3DWAm0TrzTNwIC1XsNgU4l+mwR6HhE6YBt9jd/Xl5e/nbjcCv8uEDVj40mD9pEXwTanopAgyf6bBHoeETpgBrXLxs3ZY/e2s5uLdAs6wpUVesyAlXqnS5Qra1NdhME2nLZMgLNEOg40WeLQMcjSgdUuHuiSyy7N/A8ehMBC1QVUpAC1TJDoEZiz9YxP4+7JSiB3hYPA314XlI8kH7XflP8MBME2vgMgSrTJwu06RulhxHoNGLPFoFOiCgdsObLD0dhvlImfDgK1eo6eieBquoSE2jzBQIdxON1ZwFiz9Y1P3/7JSSBXnV0mSt16KVIHUYEqmoMgSLQ1Yk9WwQ6IaJ0wIr9iyxr77DPfi+8jwLN6tYcEKi/q84SxJ4tAp0QUTpghem+d+F74T0RqCpDJ4G2y/YKVHVpj0C1djVZINAliD1bBDohonTAisgE2kQ9qAGEBJppZRFoIMSeLQKdEFE6YMX+RbZrX7UU8C58U/NBDbCBQFvGQ6DbEXu2CHRCROmANRcdWx6dmj2wCbGJQPUImwq0llhXoPrETQRqGoz+rjpLEHu2CHRCROmANZ/OjgZ9p0y4O/qzs1E6yLBA1fV6XYHqhVUZThCobr1WVrYCzZRQ1gKto+sCVTqjCa2XOtRNGltiURN5tu7pedsxIQk0v47paMzzny9zfi2vpLe6iik8gTa66ROo+o+FQJXJSnv0UA4Cbc6RTRWo1tQJSyxqIs8WgU6JKB1Q4f2ZLrFs98wuwDIC1Uq1ih7iFKjyy6F0qyE9BGpD5Nki0CkRpQOq7N+oCt09tX0i0/oCrXeZq8n+CFRpi4NA1W+VIoMCVavVKkGgJZFni0CnRJQO2GJ/ffnm/Pz86eVbh+fZbSBQRRLhC1TvnPrbyQJtg0B14s52Rnbedkx4Ap0FAl1CoOp0BDqHuLNFoJMiSgeUZHGBdsONCLT2UKb9VfkkyxBoQsSdLQKdFFE6oCS+CFSr6aDqSa9gCYE2jRoUqNKgg9ZCBLoccWeLQCdFlA4oSUgCrd3UacWhVULfbFTsVU1BoIEQdbazkvO1ZxBovaWneqq9nh+6E5cQqPZt7aZOKwQEqjZNmSfr9kXTTq1G9Vu1iCrQ7i9CGwSqE3W2CHRaROmAkrgLtO02BKoJtE4Cgc4h6mwR6LSI0gElWVSgzeyTBap4SCmsF5gnUKWCzswI1DdiznZebr72DAJFoMo8WbcvslGBaknoOXa7UgeB6sScLQKdGFE6oCSbCbSZnJZAs2EQqE7M2SLQiRGlA0qSqECVLBCoz8ScLQKdGFE6oCQI1EWgegsR6HLEnO3M3DztGgSKQJV5sm5ftFs1IlA9i4kCbbpyfIlFTczZItCJEaUDSmISqEEaCLQVvjupHfAwT6CnDxOWWNTEnC0CnRhROqAkfgnU4B4EOrbEoibmbBHoxIjSASWZI9Duur+AQNv1qjPULUagsRJxtnNT87RrEGhLCrYC7Vji0J5/hkD18HWLIxOo0o8TlljURJwtAp0aUTqgJEkLVP26FR+B+kHE2SLQqRGlA0riKtDedb/77aE9/1yB6pERaMzEm+3szDztGgTakkLYAlUrOGwn0E5b+kCgOvFmi0AnR5QOKImXAs0QaPXPhCUWNfFmi0AnR5QOKAkCRaA+E2228xPztGsQaEsKswXacQkC7Sdige6vf/vLeqZgsx0DgU6PKB1QEgS6rkDHiE6gf15evsv/vXuSZ7T7u+XsgWU7HQQ6PaJ0QEkcBdq/7ut/qV5pS6IKG7pA1cQRqM77szyP+x8Pt2enBI9/2xBUtjYg0OkRpQNKspJATcWrsMIC7UZYQKCd8u0aEGjO1SmrB19+OG59np9/k/9tFSGkbK1AoNMjSgeUZIpAJ7rAUqC1l2UFaqgyJIFqEUMX6KfjZue9n3897rz/Lcse51Nyoz63CRFQtnYIJOZn3yDQricOcwVqLn9AoD1EItCLco99/yKrNzwvLDdBA8rWDgQ6PaJ0QEniEKjpq6GGIdA1yMVZbG7eHvfffymnHTdKrY6ChpOtHRJ5+dk3CLTriUMsAu1MQaAL8uWH7KvftT+0Pw0Y+yJKEKhFROmAkkwS6DShIdAFBNodPH6uNiYQaD8I1CKidEBJpgl09PpvvYwHAuwRhL8AACAASURBVDWcmDd9uahAzQ2bgtr40SXmLcdd+HLP/bjfzi68hkhafvYNAnVd+10Faii5vUDV7xGoIxenM0bHf8uT8MVpeE4iIVC7iNIBJUlToNpXQwLtNAaBWnB7bP/3Nzevs+xhsy3KZUwHqbS87BwE6rr2JytQrUETSw4TiUCLTc+c+//zKM5Hl5cvM9tbkULK1gIEahNROqAkiQvU+PX2AtVDjiwxj9m/LnI4bn1W9yQNnUIyEVK20xHKysvOQaCua3+sAm1VOTkYAj1y/Y+H3z7Ntzn/KG+Gf2R3K3xg2U4FgVpFlA4oCQJFoOuw//Mf5z9bP88u1GyHQaBWEaUDSoJAFxOoDONLLGqizFYqKS87B4E6r+qGv8yfGzX0xNhWoMNVCgabVuHYEouaKLNFoHYRpQNKErRAs4EWxyLQzujxcq1ZjCizFUvKx95BoM5ruuEv8+fGDP0xplXZ32IEGgVRZotA7SJKB5REUKDKOj/yuTHD2JxjFfW3GIFGQZTZIlC7iNIBJUlBoGNB7GoUDDaxxpElFjVRZotA7SJKB5QEgSJQn4kyWwRqF1E6oCSeCdS2IokWizoPgcoSY7ZyOfnYOwhUYJ0f+dyYYW5FEi1GoB4TY7YI1DKidEBJFhFoxwFWk20CL9ViZxCoLDFmi0AtI0oHlASByoJAZYkxWwRqGVE6oCTtdMXX/8IBVpNtAi/WZFcQqCwRZiuYko+9g0DlQaBzIo4ssbiJMFsEahtROqAkqwi0Tw3zI6zd5FEQqCwRZotAbSNKB5QkbIEWrReIIgcClSXCbBGobUTpgJKELtDRK9tXZoHWjCyxuIkvW8mMfOwdBLoaCHRizMElFjfxZSuakYfdg0BXA4FOjDm4xOImvmwRqHVE6YCSbClQETxrMgKVJb5sEah1ROmAkiBQWRCoLNFlK5uQh92DQMMiwCbbMrzE4ia6bBGofUTpgJIgUP8ZXmJxE122CNQ+onRASRCo/wwvsbiJLlsEah9ROqAkwQt0kaOOfjG8xOImumyFE/KvfxBoYATYZEuGl1jcRJctArWPKB1QkvAFGj/DSyxuossWgdpHlA4oCQL1n+ElFjfRZYtA7SNKB5QEgfrP8BKLm+iyRaD2EaUDSoJA/Wd4icVNbNlK5+Nf/yBQ8IzhJRY3sWWLQB0iSgd0Z8rqCb7RXkLrjZftiS1b8Xy86yAECp7RXkLrjZftiS1bBOoQUTqgJAjUf4aXWNzEli0CdYgoHVASBOo/w0ssbiLLdgG7+NZBCHQpDSwXOnKGl1jcRJYtAnWJKB1QEu8Eimc7DC+xuIksWwTqElE6oCQI1H+Gl1jcRJYtAnWJKB1QEgTqP8NLLG4iy3aBdHzrIQS6lAZEi6XE8BKLm7iyXSIb33oIgS6lAdFiKTG8xOImrmwRqFNE6YCSIFD/GV5icRNXtgjUKaJ0QEkQqP8ML7G4iStbBOoUUTqgJAjUf4aXWNzElS0CdYooHVASBOo/w0ssbqLKdpFkfOshBLqUBkSLpcTwEoubqLJFoG4RpQNKgkD9Z3iJxU1U2SJQt4jSASVBoP4zvMTiJqpsEahbROmAkiBQ/xleYnETVbYI1C2idEBJEOhGdVowvMTiJqpsEahbROmAkiDQjeq0YHiJxU1U2SJQt4jSASVBoBvVacHwEoubqLJdJhnPugiBLqUB0WKiIFBviSpbBOoWUTqgJAh0ozotGF5icRNVtgjULaJ0QEkQ6EZ1WjC8xOImqmwRqFtE6YCSINCN6rRgeInFTVTZIlC3iNIBJUGgG9VpwfASi5uYsl0oF8+6CIEupQHRYqIgUG+JKdulcvGrjxDoUhoQLSYKAvWWmLJFoI4RpQNKgkA3qtOC4SUWNzFli0AdI0oHlMQ/gW5gMwTqLTFli0AdI0oHlASBZgjUY2LKFoE6RpQOKEnyAj1kCNRjIsp2sVT86iMEupQGptpiuSYY68sQqMdElO1yqXjVSQh0KQ1MtcVyTTDWl1VN81ajw0ssbiLKFoG6RpQOKAkCPf1/k4Ov0xheYnETUbYI1DWidEBJEGiGQD0momwRqGtE6YCSINAMgXpMRNkiUNeI0gElQaAZAvWYeLJdMBOvOgmBLqWBqbZYt+olBSoUcXiJxU082SJQ54jSASVJQaCDIV0EunIqw0ssbuLJdslMfOolBLoQDtYRE9DQlxkC9Zh4skWgzhGlA0qCQDME6jHxZItAnSNKB5QEgWYI1GPiyRaBOkeUDigJAs02FeiUUMNLLG7iyRaBOkeUDijJPIHaFEeg3ToR6BjxZItAnSNKB5QEgWYI1GPiyRaBOkeUDigJAs0QqMfEky0CdY4oHVASBJohUI+JJ1sE6hxROqAkCwi0J8bE2CIC1WccDOmJQAcdP7jE4iaebBGoc0TpgJIg0AyBrsLnPy/ffrSeK9RsuyBQ54jSASVBoBkCXZDrH7/6/fjP/s1Zkcq9V5bzh5XtEAjUOaJ0QEmiFmj1zzICHS2PQPcvsywX6P5Fncz3dluhIWU7yLKJeNRNiQvUzlkIdLBY6gItvHkUaPHv7vz8PN8MfWAVIqBsh0Gg7hGlA0oiLtDeEBODhynQg6mxyQv09tj4//1j+e/jfML+X0eR/mITIqBsh0Gg7hGlA0qCQKsCCFSci5M3L5rtzgvLTdCAsh0GgbpHlA4oSboCVcog0EX48kO5uVn9m/PpLLtvcxQ0nGxHQKDuEaUDSoJAM02gk6pEoJM4irM4BV/9e2j93WU8+2BBoO4RpQNKspFA++uxFah5pdP/MYU8INClqWS5f4FAl15s/vQTAm15YohegZq/2FigWsMQ6OIcxZk9z/+4aHbhb7M0d+GXzsOffkKgLU+Mm6S9tvd+4a9AD94KtLOE/FlVRrkqrwLND3yezhzlTn1sEyKgbAdBoDMiSgeUZEygw0JBoM0UBNrhuL+e3Xt3KExaXsb0OtXLmBDojIjSASVBoBkCXYzb/Mr5b3++ufnX0aRPf32Zf7TaAA0q2yEQ6IyI0gEl8UCgh1axwfCd2gUEWvVDXzijdBHoFD6dtfOx82dY2Q6AQGdElA4oSYoCVc4ZIdCFqZ4iciLZh4ksnoc3HRWgQPc3f15eXv52Y/+wMASKQBfn86/nPz488u1PP6f7ODsEOiOidECN65fK2vbore3sUQn00PoDgQZPJNkun4Y3HRWWQO+etNa3e1bnOBEoAvWbSLJFoHMiSgdsKM5yZg/PS77JP+yeW0UQFOhJKwjUlEonIAKdRCTZItA5EaUD1uTX2e3Uw/IfzrKhO+UMrCLQw+kLBKo3RAmCQM1Eki0CnRNROmDNVUeXuVLn3elhXs8HTND6cFhKoF0dIdD4iSRbBDononTAiv2L073GCrPvNTav5wMmaH04bCnQlo78F2i7xcayI0ssaiLJFoHOiSgdsML0ZJvhp9106aZrWs8H1u72hwMCbeIagqkNQaCjRJItAp0TUTpgBQJtlUGg0RFHtitk4U1HBSTQ/YvukxnmPy7MtJ4PrN3tD4eFBHrouKZrPAQaHXFki0BnRZQOWHPRseXRqXPfOdOSTd+K3V3tYxboQUtgVYGOL7GYiSNbBDoronTAmvxRDfffKRPuXsx/XFhLNoOrt7hAtUKuAj3ookOgARNHtmtk4UtPhSTQ/Dqm/IXbP1/m/FpeST/3cWEt2Qyu3hIC1TSjFRoW6GGaQBWRIdDwiCNbBDoronRAhfftx4XtntkFQKCjAj2sItDesuNLLGbiyBaBzoooHVBFf1zY7qnt824Q6DSBHjJHgfZs0iLQacSRLQKdFVE6YIv99eWb8/Pzp5dvHZ5nNyLQQ9cVbRO0PhwmCtSsDq1QMAI9VBupes6TBFpnY8wagUaRLQKdFVE6oCQ+CPTQGEQrhEAzBBpFtgh0VkTpgJKICfSg2Ss5gWrtruOaAyLQ6cSRLQKdFVE6oCQIFIH6TBzZrpKFJ12FQA3usRPoYZ5AjSpRZ9Dn02SjNSUYgSpt7MwxYYnFTBzZItBZEaUDSpKwQOuWVv3QkykC3ZA4skWgsyJKB5TEUqBdSygrer3CN18oszex9Q8Hg0A1UXVm0OdTpbS1QNUGI1AJ4sgWgc6KKB1QklGB6hZYRaAHXVSdGfT5VCkh0NiIItt1kvCkqwISaP74eQMij7ObJFB1t/XQ2Cstgaodh0CliSJbBDovonTACgSaZfEItJ2fkvjIEouZKLJdKQk/+ioggXZfalzgt0AP6gdlRgSKQA1EkS0CnRdROmDD/oXt05fabCNQpSKzQDVFKXPr4lLLTBHoAYGGRhTZItB5EaUDKuQGtXsRfIu4BVoLUv2oCrTuAQTqJ1Fki0DnRZQOqGL7DqQ2RoEeMkuBapbyU6CH+qN3AtWDI1CVKLJFoPMiSgfUuJ23E49AVxOo/hcCnUQU2SLQeRGlA2rsX8zaBF1KoF3VVKEQKAKdTgzZrpaDF50VmkAPn87P/9197okC1dWhqqWxxaBAm9gI1EagU5ZYzMSQLQKdGVE6oCTrCrS2yuHQzItA+wRqHIxerCWrEUO2CHRmROmAkiBQfwVqHoxerCWrEUO2CHRmROmAkmwu0OovaYFWn4MQqJIzAtWIIVsEOjOidEB3unawEmg7goBA67/sBNpU6JNA1e5xFmgTBIHGkS0CnRlROqA7XTt4LFCtNqX1iwu01U1TBap3sKNA1SAINI5sEejMiNIBJVlDoK1ajAJtaji0Jm0kUEV3fQJVMlCajUAliSDb9VLworMCF6jtnUlhCvQwJtAqAgINnAiyRaBzI0oHHEJCoLVoNhXoQatN+YRAEyKCbBHo3IjSAYeYL9DT1LgEWjdqG4G2I9Zza0sAgXaJIFsEOjeidMBBPt/8ZVMcgVoJ9IBA1yWCbBHo3IjSASVBoEMCVZqPQDchgmxXTMGH3kKgBzGB1rPJCPSgVBaKQA+tYAjUjgiyRaBzI0oHlASBjghUmbVp9FSBVpPsBVo3f+ISi5Xws10zAx96K0CB7m/+vLy8/O3mo8O8EQpUrSYwgepzINAYskWgsyNKB9S4fqkY7dFb29kRKAL1mfCzRaCzI0oHVOi8l/PeL3YBECgC9Znws0WgsyNKB2y4PctXtofnJd/kH3Z275gLQaD6HLpA1SYICVR3njJr02gEuhbhZ7tqBh50V0gC/fLDUZivlAkfzixfCx+WQA9NZQg0DcLPFoHOjigdsOaqo8tcqVbvmItMoEpVCDQGws8Wgc6OKB2wYv+i+1L42yy7b3M2HoGuJFD1y1YPtZcFAm0IP1sEOjuidMAK033vXt0LX8+GQFsCrb9AoMOEny0CnR1ROmAFAl1RoAe9BQICrdNuLwsE2hB+tgh0dkTpgBX7F9mufdWSN7vwjeMQKAJ1Jvxs181g+/4KSKCHi44tj07NHtiEEBLoaS4EikBlCT9bBDo7onTAmk9nR4O+UybcHf3Z2SgdxFeBNkXbAq1ViEATIPxsEejsiNIBG67ydW13/vNlzq/llfRWVzFtI9BWcRuBVv+dK1BTPyBQ/wg/WwQ6O6J0QIX3Z5nO7pldgJgEqieEQGMg/GwR6OyI0gFV9m9Uhe6e2j6RyVWgtRm9EWg7oR6BHjrtUb6VEqheLwJ1J/hsV05g+/4KTKBH9teXb87Pz59evnV4np2bQOvPCNQk0Fa9CNSd4LNFoPMjSgeUJE2BmvsBgfpH8NmuncDmHYZAD9sJtNsOBGpqaToEny0CnR9ROqCRLz8+/NbqOUwlGwi0qaQtUFORzQSq9UCr0Qh0LYLPFoHOjygd0IjtPZwn7AWqfd5EoGpwYYEqJl1foGoQBFoSfLYIdH5E6YBGEGirCAKNgeCzRaDzI0oHNIJAW0UQaAyEnu3q7d+8wxDoAYH2C7S2GwJdhdCzRaACEaUDGvFEoEpQBKrOUH+JQG0IPVsEKhBROqARPwSqBkWg6gzK1wh0OqFni0AFIkoHNIJAW0U2EaiSMAKVIPRsEahAROmARhBoq0gTvPkCgYZG6NkiUIGI0gElQaDqtwjUN0LPFoEKRJQOKAkCVb/tCLTbSQh0VQLPdoPmb91jCPSAQFsCbbcaga5G4NkiUImI0gElSUeg1d8SAlWrNn6PQIUIPFsEKhFROqAkCFT9ZoJAO1Ubspop0AMCrQk8WwQqEVE6oCQIVP0GgfpG4NkiUImI0gElQaDqNwjUNwLPFoFKRJQOKAkCVb/ZQqDGGhDoicCz3aL5G3cZAj30CFT9BoGKCNQYv047MoHu/7z8zfqtXcFmW4JAJSJKB5QEgarfrCvQXgz5tqoPEad75YLNtgSBSkSUDiiJJwLtaQoC7ak+RBBovHUuWr3XQ8ALgfY2BYH2VB8Gn29Uro8CfXv89y+bEAFlawKBSkSUDihJIALtFEGg/nPc5DRhtRkaTrZGEKhEROmAkvgvUPUbBLr5+mEBAt2m+dv2GQI9pCvQ+g8EKsH7syzbnVf87SzbfXf89yebU/EBZWtgm9Yj0BVBoJ3ZFheoMWorRjtfQ0sD4O5Flt17d/ow4SSSaYN18UYuCAIViSgdUJINBXpIU6DGmJ0YrVaZWhoEfxw3O/9e/olAo651udq9HgIItDMbApXk7kmW3S82QhO8jAmBikSUDihJDALVAiFQz9j/K8t2zw4INPJal6vd6yGAQDuz+SDQ9h+mL4Ph03Ej9NFHBBp3rcvV7vUQCFqglRBjE2i3VSPTPGf/+rgR+gqBRl3rcrV7PQTiFag5HgLdhPyCpu/OUhPoRo1HoCsSiUBNURCoR+QXNFleQ18QZrYnEKhMROmAkiBQYxEEKs4fZwg06moXq93rIRCxQHuyRaAbcfcPu5uQCoLNNgeBykSUDigJAjUWERCoNqER6GDlxqomTIuXoLPdqvGbdhoCPSBQBOoLQWeLQGUiSgeUBIEaiyBQTwg5283ajkDXY5JAlYL2Ah2qxVuBaukYStgJVOk9BGpHyNkiUKGI0gEl6U03M4sJgSLQNQk5WwQqFFE6oCQItLcIAvWAkLNFoEIRpQNKgkB7iyBQDwg52+3avmWvIdDqCwSKQDcn5GwRqFBE6YCSRCfQQbYWqO3oQqABZ7th0xHoaggIVLEDAkWgsgScLQKViigdUJL5AlXtgEARqCwBZ4tApSJKB5QEgfYWQaAeEHC2cVlsw6q9HgIOAq0N0itQZQ4EikDnEHC2CFQqonRASRBoTzEE6gUBZ4tApSJKB5QEgfYUQ6BeEHC2CFQqonRASdIT6ORifQJtWoZAFyfgbBGoVETpgJL4LdD27Ag0aKU4EHC2CFQqonRASYIQqOEjAk2DgLPdtOnbVY5Aqy9EBDpUCwJ1aW/ASnEg4GwRqFRE6YCSeC7Q3tYi0DQIOFsEKhVROqAkkwWqlEegCHQtws1225Yj0JVAoL3FEKgHhJstAhWLKB1QEgTaWwyBekC42SJQsYjSASVxFmj1JwLtfIFA5Qg3WwQqFlE6oCShClRrTTgCtQSBhpstAhWLKB1QkhkCrUoh0NYXCFSOcLNFoGIRpQNKgkB7iyFQDwg2240bjkBXAoH2FkOgHhBstghULqJ0QEkQaG+xEYEeEOgKBJvt1g3frH4EWn2BQMdKI9DFCTbbrRuOQNdhS4G2psci0FZFCHQOwWa7dcMR6Dog0N5ibgLtVIRA5xBqtpu3G4GuwzoCnVT7CgKdCAL1hlCz3bzdCHQdEGhvNQjUA0LNdvt2b9UCBFp9gUAR6OaEmu327Uagq4BAe6sZj4pAFyfUbLdvNwJdBQQ6oZr+cgh0YQLN1oNmI9BVQKATqukvh0AXJtBsPWg2Al2AzEB/0WAEKg0C9YZAs/Wh2Ru1AYHWRRHoaDkEujCBZutDsxHoGrgItFUKgQ5GQKBzCDRbH5qNQNcAgU6opr8cAl2YQLP1odkIdA0Q6IRq+ssh0IUJNFsfmo1A1wCBTqimvxwCXZhAs/Wi2ds0AoE2XyDQsXIIdGECzdaLZiPQFRhMF4GOlUOgCxNotl40G4GugG26CFQrh0AXJsxs/Wg1Al0BBDqhmv5yCHRhwszWj1Yj0BVAoBOq6S+HQBcmzGz9aDUCXYEFBWobDYFOaogfK+dahJmtH61GoCuAQCdU018OgS5MkNl60mgEugIIdEI1/eUQ6MIEma0njUagK4BAJ1TTXw6BLkyQ2XrSaAS6Agh0Bgh0cYLM1pdGb9IOBGpTHoEi0EUJMltfGo1Al0dCoMYP9tEQ6FCYwWnxEmK23rQZgS7PtgK1bQoC9Wj1XIUQs/WmzQh0eRDoDBDo4oSYrT9t3qIlCNSmPAJFoIsSYrb+tBmBLg4CnQECXZwQs/WnzQh0ccISqGkWBBozIWbrT5sR6OIg0Bkg0MUJMVt/2oxAFweBzqDXnwhUihCz9ajNGzQFgdqUT12gE75BoHMIMFufmoxAlwaBzmC6QAUr8Gn9XJ4As/WpyQh0aRDoDBDo4gSYrU9NRqBLg0BnMKlqBDqH8LL1q8XrtwaB2pRHoBMKIVB3wsvWrxYj0IVBoDNAoIsTXrZ+tRiBLgwCnQECXZzwsvWrxQh0YRDoDBDo4gSXrWcNRqALg0BngEAXJ7hsPWswAl0YBDoDBLo4wWXrWYMR6MIg0Bkg0MUJLVvf2otAFwaBzgCBLk5o2frWXgS6MAh0Bgh0cULL1rv2rt4gBGpTHoFOKIRA3QktW+/ai0CXBYHOAIEuTmjZetdeBLos4QvUdxDoHELL1rv2ItBlmZkuAh0lbYHu3/z48Lt/fqw/f/kh++p3i/nDytbH5q7dJARqNzsCHSFpgf5xVrz2ZPe0UigCXRsEuigIdGlSFuhVVnH/ZFAEujYIdFEQ6NIkLNBPx+3Pe69ubl7n/5bajFugPrYWgS4KAl2ahAV6VW153j2pDIpAV2flRiFQu9k1ga7dFC8HbIt0Bbp/kWXPmz8Ll0YtUD8bi0CXRFKg6+PniNVJV6CqLHODPjiMCTQzsEpTZfCzsQh0SRDo0iDQ6kP2GIFuAAJdEgS6NAi05NNZtvsl6l14T9uKQJcEgS5NugJVjoHm3GbZV+8Q6Oog0CVBoEuTrkDzs/AP9I9f/ScCXRsEuiQIdGkSFmh+Heijv5rPF8VBTQS6Muu2C4HazY5AR0hYoMWdSKovX8csUG+bikAXBIEuTcoCPbw/0315/IxA1waBLggCXZqkBXrYf/jpo/b59VmkAvW3pQh0QRDo0qQt0LmEk63HLV21aQjUbnYEOgICnUMw2frcUAS6HAh0aRDoHILJ1ueGItDlQKBLg0DnEEy2Xjd0zcYhULvZEegI0l0UQs5yhJKt3zftI9DFQKBLg0DnEEq2frcTgS5G2AINAQQ6h0Cy9byZCHQxEOjSINA5hJGt96vBiu0LUKD7mz8vLy9/u/k4XrQDAl0aBDqHMLL1vpUItJfrl8rDZx+9tZ0dgS4NAp1DENn630gE2kP+ti6Ne7/YBUCgS4NA5xBEtv43EoGauT3LpfnwvOSb/MPu+fhsCgh0aRDoHELINoCVAIEayd8zs3ulTPhg+7AbBLo4CHQOAWQbwjqAQI1cdXR5enXXdBDo0iDQOfifbRirwHqNDEige/2dMwW3p/dvTwWBLg0CnYP32QayBiBQA6YXdK380q5Ahs+WINA5+J5tKCsAAjWAQEMAgc7B82zDeXH9au0MSKDHXfhd+6olduF9A4HOwe9sAxr+CNTARceW+WHRBz2ljSDQpUGgc/A7W79bp4FADeSvjb3/Tplwd/RnZ6N0EAS6NAh0Dj5nG87+e85abQ1JoMVrY7Pd+c+XOb+WV9JbXcWEQBcHgc7B42zD8icCNfL+rHUr5+6ZXQAEujQIdA7+Zhva0EegRvZvVIXunto+kQmBLg0CnYO/2frbsh5WanBgAj2yv758c35+/vTyrcPz7BDo0iDQOXibbXgjH4EuAQJdGgQ6B1+zDXDgI9AlQKBLg0Dn4Gm2IY57BLoECHRpEOgc/Mw2yGGPQE3s3/z48Lt/Ngc/uZXTNxDoHLzMNtBRv06rwxLoH2ets+8I1DcQ6Bx8zDbUQY9AO1zVFzBVt3QiUN9AoHPwMVsf2zQFBNomv5Xz3qubm9f5v6U2EahvINA5eJith02ayCotD0mgV9WWZ/5uudKgCNQ3pHsorR73MFsPmzQRBKqzb55In/9ZuBSBxk5aPe5ftiEP+TWaHpBAVVlWz7FDoLGTVo97l23QIx6BamiyPL1ODoHGTlo97lu2YQ94BKqhy/LTWf4oUAQaO2n1uGfZBj7eEaiGcgw05zbLvnqHQGMnrR73LFvPmmMLAtW50t/fkb8m/j8RaOSk1eOeZetZc6xZof0hCTS/DvTRX83ni+KaegQaNWn1uF/Z+tUaBxCozlXLl68RaPSk1eNeZRvBaF8+g6AEmr/SQ/Nl/ooPBBo1afW4T9nGMNgRaIv9h5+059DvX58h0KhJq8c9yjaKsY5AhUGgoZFWj3uUrUdNmcHiWUQt0MzA3IBCTYOJpNXjHmXrUVNmgEDngEDDJ60e9yfbWIb60mlELdAuCDQ00upxb7KNZqQj0EG4Eyl20upxX7KNZ6Aj0EEQaOyk1eO+ZOtLO+aDQAdBoLGTVo97km1M43zhVAIX6OHzzV/jhRoQaGik1eOeZOtJM0RYeJ0NXaCWINDQSKvH/cjWj1ZIgUAFQaChkVaPe5FtbKN80XQQqN3sXmcXI2n1uA/ZRjfIEajO/ubPy8vL324+jhftgEBDI60e9yFbH9ogy5IZhSbQ65fKXUWP3trOjkBDI60e9yDbCMc4Aq3IXwivce8XuwAINDTS6vHts41xiCPQE7dnuTQfnpd8k3/YPR+fTQGBhkZaPb51trOfFuElSyYVkkDzVxnvXikTPtg+TxmBBkdaPb51tlvXvxAItOCqo8vT2+Gng0BDI60e3zjbaMf3cnkFJNC9/lrjgtssu29zNh6BhkZaPb5ttvEO7+Uyc9DiIgAAF8NJREFUC0igpvveuRc+dtLq8U2zjXl0I1AEmiZp9fiG2cZ5/qgCgRa78Lv2VUvswsdOWj2+XbZx+3O5NTcggR4uOrbMD4s+sAmBQEMjrR7fLNvoRzYCPRw+nR0N+k6ZcHf0Z2ejdBAEGhpp9fhG2Ua++VmwUIYhCTS/julozPOfL3N+La+kt7qKCYEGR1o9vk22KfhzqXU3KIEe3p+1buXcPbMLgEBDI60e3yLbJPR5WGrlDUugh/0bVaG7p7ZPZEKgoZFWj2+QbSr+XKhzAxPokf315Zvz8/Onl28dnmeHQEMjrR5fPdt09IlAJUCgoZFWj6+dbUr+XKZ3Eajd7F5nFyNp9fi62aalz2VW31AF+uXHh99aPYepBIGGRlo9vma2qenzsEjKwQrU8h7OEwg0NNLq8RWzTdCfS6zACNRu9vTG3Mak1eOrZZukPg8LrMEI1G72JEfdlqTV42tlm6o/5VdhBGo3e6LDbjvS6vF1sk1XnwfxdRiB2s2e7sDbiLR6fJVsEx/Fsj8fCNRu9qSH3hak1eMrZJv05mdBeRujWDChQE1E6YBGEGgipNXji2eLPnOyNnNCyTXrFFE6oBEEmgjh9fj+5s/Ly8vfbhzuNF46W8lNr8DpONSxY0IVqCMINDQC6/Hrl8oa+eit7eyLZos9+5ghUQRqN7vX2cVIUD1+96S1UXPP6nHfS2YreuAvStwkikDtZvc6uxgJqcdvi2ctPjwvKZ73vWu/iHsYu2zHS59K1GKoB3D+b/N3PrnxR+ePQNH30w96BzQ9pE5qZpVbBrZ4PeARaGgE1ONffjgK85Uy4cNRqHZH6uUFmmlOyBDooEAPTdZiy8AWrwc8Ag2NgHr8qqPLXKlW75wRFajmknpSMysCPZgFarM3j0DtZvc6uxgJp8f3L7KsvcO+wGu37TWiz9xUhEAPPQJtdfPMJWaJ1wMegYZGOD1uurJu+Go781o/XsbGIJ1o1R8IVEle+aj2WU9Yff7exeuI1wN+tkCF2gFTCafLRQT6P2wYL94uUdeQ/9v8nU9umtD5I1D+h5ZAmW5m6BF1UlXOAulx5PWAD2d1hJJwlthxF37XvmppgV148Aq2QMFrAlpiFx1b5odFH9iECChbKECg4DUBLbFPZ0eDvlMm3B392dkoHSSgbKEAgYLXhLTErvLjabvzny9zfi2vpLe6iimobCEHgYLXBLXE3p+1zmPsntkFCCpbOCBQ8Jywltj+jarQ3VPbJzKFlS0gUPCc4JbY/vryzfn5+dPLtw7Pswsu2+RBoOA1aS2xtLKNAQQKXpPWEksr2xhAoOA1aS2xtLKNAQQKXpPWEksr2xhAoOA1aS2xtLKNAQQKXpPWEksr2xhAoOA1aS2xtLKNAQQKXpPWEksr2xhAoOA1aS2xtLKNAQQKXpPWEksr2xhAoOA1aS2xtLKNAQQKXpPWEksr2xhAoOA1aS2xtLKNAQQKXpPWEksr2xhITqAQGluPmTXZuq/BHvExIB1Qkq07G+zZesysydZ9DfaIjwHpgCGx5uq+Yl1xVuU5c3piVi9uVXGQjZbHq8asDQINqCrPSc5FQTZaHq8aszYINKCqPCc5FwXZaHm8aszaINCAqvKc5FwUZKPl8aoxa4NAA6rKc5JzUZCNlserxqwNAg2oKs9JzkVBNloerxqzNgg0oKo8JzkXBdloebxqzNog0ICq8pzkXBRko+XxqjFrg0ADqspzknNRkI2Wx6vGrA0CDagqz0nORUE2Wh6vGrM2CDSgqjwnORcF2Wh5vGrM2iDQgKrynORcFGSj5fGqMWuDQAOqynOSc1GQjZbHq8asDQINqCrPSc5FQTZaHq8aszYINKCqPCc5FwXZaHm8aszaINCAqvKc5FwUZKPl8aoxa4NAA6rKc5JzUZCNlserxqwNAg2oKs9JzkVBNloerxqzNgg0oKo8JzkXBdloebxqDABASCBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMRC/TTWfbcaoa7l2dZtnv0bm6cxbg2N3AE79MKjp4ePbJ/8zDLsq+br/Yvspr53d1fccGXH776fZGKB+ptfyVV7wZVOhGvQL/8YNmd78/KZbD7+7w4S7F/XY2Sxzaz+Z5WePT0qPJNln1/mpJ3s9jK3V9xwVEkjUAlKx6ot/OVUL0bVOlGvAK9sOzO256lYBtnMS6aBloY1Pu0gqOvR7VvsgfdSXO7u7/igv1xkTYCFax4oN7uVzL1blClI9EK9NayO/OfsXvHvYLrJ+owtI+zGMdd7izfbbl7cfzx/WXqXN6nFRx9PXr65u2h/Oq0iK7kerm/4oJiR7aZLlfxQL2Gr0Tq3aBKV2IVaLlZP9ivxxF3/2P96bgUyk/5QGy28CbEWYmreqvmYnATNLC0gqOnRw/Fj9JpCeVflX9emFwnXXHOh2LHtqlMruKBeg1fidS7QZWuRCrQ/HDQ/2Uj0OOHarPuuKlXT58SZyUu6gY2K6qJwNIKjZ4ezbloerT6Sv81W6ri427JcXsse/SkMYlcxQP1Gr4SqXeDKp2JVKD5Vr26Zb9/n58d/fZVa1k0HX/cJKs+KMuoE2dDTAKNIK3Q6OnRnlLHfwd+6+QqPi7M3TP1JJJcxQP1Gr4SqXeDKp2JU6DHH6fH6qGRT9XZ0XvKZRGaadStumZLoh1nS7Rd+LJBMaQVGuYebVOt58fSz+9+LH7kFq34avf9R+0svFzFA/UavhKpd4MqnYlSoKVDrlRhVChHS9qmqY+11DO242xKftiyOIn0sjoKFEVaoWHsUVOpB2WJ3d9Oi+jRzN3MwYo/n/Zl63EgV/FAvYavROrdoEpnohRoubdbd31x4u5VvsN7ph491EyjLqfb5ui0FmdjiuNc5QZnsZpEklZgGHu0zXHRlDueyqVncw/UjVesClSu4oF6DV+J1LtBlc7EKNBTx9Z9fVt37GlgqxeOZVlHJ9Uya8fZmvwCJuV3Npa0wmKKQPMrMotftPxM8e7px3K3we7+B4eKFYEKVmxlM5l6N6jSmQgFWh1/qvu6Of1y6vNppunE2ZirpsHP8s+RpBUYEwTaXNFeb4kW88272MZKoIIVW9lMpt4NqnQmQoFWl4VVfa2cuMsPGz6Yapp2nI3J/fn9X4fD5/yOzufRpBUakzxmODufT53V33a78HIV2+1Pi9S7QZXOxCfQuosVgaqoF0MOHSzsxNkW5d7198UPbRxpBUHd1Ucvjnrs7on5TrErh/1Lq4p7BOpS8cR6h5vkkvBo3KWqdCY6gZYbYzlVXysnq/tN0zm7142zLZ3rN+JIKwhUn4ydhc/P6N0z7Uf2nnESqrhXoA4VT6x3uEkuCY/GXapKZ6IT6FWm89hw30bJ8AWT3Tjboo6Wq3jSCoKWT4auAy0OtBhPBQsIdOQC1MUEanFR5rx6x+MuVaUzCQj0OBqMh5aHb9nxzTSdfZc40gqO4TuRXvd36dwt/vFboPp34edUbHdbkEi9G1TpTAIC7Tu0PHzTuG+m6fz0xpFWcAzekn7VOvypHJNTThYvUHFVohKoYMVWN6bL1LtBlc5EJ9AG9XTJV+/qabUyJj226ODLwcL8kOepGbf1Gfbw0wqP/h7NF8xX2iPUjwvtpLT60tBFKi5RBCpZ8UC9na+E6t2gSldSEGh+RGf37GN5BdDA4x+Khzl2H0HoiWnyGy7qy5jycRJHWsHR36PdDaDiiqZ8EV33nJqXqbipTbuQXqjigXo7XwnVu0GVrqQgUO0Cyd591t6HYHtiGvWypfI0bxRphUenRytx6odHiknqpRKzj5b0VnxCPQYqWfFAvZ2vhOrdoEpHkhDo4fZsQg//0fMaFl9Mk//UllS76FGkFR7tHj2t3M3yaQR6+FQ9wKDnPUYSFVdoJ5EkKx6otzO6hOrdoEo30hBo9bbEp38NzdDzIkB/THP9Y9HAt/WEONIKjlaPnlbu1p0Np/V9/+HH8UU0r+IK/Sy8ZMUD9XZGl1C9G1TpRMQCBQBYFgQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQAABHECgAgCMIFADAEQQKAOAIAgUAcASBAgA4gkABABxBoAAAjiBQN778kN3/WP5598olQDnX/kX21e9yrYLluMq0RXWbZY9tQ3z5oYlwXPI1z0/T7l6eZdnu0btmju6UgeZVPHz6l23LDtqINtAZqE3xeiTvfnGo9jCY5JQeuW5P2b95eOyFr6spSs/knJba/n1e6OGz/pSngUDdqMfP/rX9itTMhUCDIV8PHzQfHQSqLezjAGoL9P1Z+XH396pQd8pg82p2zyybdnAWqDKSHQU6kOSEHjnWr5uxLpJl3xefjQL9VBW6N3P1Q6Bu1MPNZUukmQuBBsOVuq3ostz3F+o27K2yTj9vT3neKfPcGLLdPIvyHRwFqoxkN4EOJDmlRy7aalQ7tvjBMwm09mc2lPQUEKgbQgKFYCjWQ02Adkuw2Gdv5r9q+yLfJL133Ou8flIV604Zbt4p3v7DExctDAu0t/hcgQ4kOaVHchPm++p3x94t6i+KvD2UZdotujo5NS+Ub6Xv35zNXRERqBsINDWumm2aHNsl+OFMF/BFWxdXlfVy0z42TxluXi3k4+C0l9lGAh1IckqPXNWL5KKccltPyMs80ALeVrM3x7Nv526CIlA3EGhqHFe6784aS9ktwbvj5lD26EkjzePara+4ioCOW1X5d90pI81rtmgvHPbhtxHoQJKTeuSinnIyp5J6O2D9u6LEmXHuqwSBunEaP9UBl2KZlSf2vn11WmgXxxIfvjlOyM8Gfi7ODO6+Lc5YNnM1h5b2H35UZi6m7998o55eLMN/7XSKFWZzNNRj5Ux8W6Dqobess/N4le8yqscRj+NH3zpS/HVaqbtTRpqnCrQqro0747A63L08fvz+Y1ldPWezFVs0tWm7Vlwbycfy7/XQ410zkOSkHukI1Bzg1CvNGaRWUXcQqBsGgTYn9soBdBTo+2rANAey9bnqcVlsojQz59P/vzMluHrcm23XLcgFquwVWgr0qBztRMyx+PO78ieznlCv1OVWVHfKSPPUXfiTOfRxZxpWVZH7/1XMdKWei6n/UgaqXlwX6H+czujs9LYOdc1AkpN6RNuFb3VRS6DN3rrk/h8CdaMrUOXEXjnULrKvi0kP9BOBj00CVS5qKT6rVwk2B8ezej5YnUItn+qdeDuBfq709Xsdbfe3U9FHnUNBV5UuWlNGmqecRDpV3xp3hmHVFPlfihFdb5w1V20VR2urtreK6wL9Rl8BpnTNQJKTeiRfLYqTSC+7BzP1bVJlA7eYt7ig9GuH6710EKgbnWOgxdm/V/mO9tlpueU/x/ffVd99n+95X1fnR9uXMR3L7p5+LM8KPjicRvru2cfyMre86NXp5GJ+unHmlRfgQrltVu/Ez7wOVLn6plycqj1uq6paU0aa13DaB+qMu+6wqs5rFxdP3m+2kouSRcPKkX6a3i6ujeRT6H9lFl0zkOS0Hql33TpXdLZOpTXbqsV+/1XPXLYgUDc6Am12EKoFd6HuMpyW3fEHvhifLYEeJ5+W9emvfDieVrar1sFxLh3dhlKg9enfeQLNw+S/mMWWU/UDKSfQ04X0nXHXHVb1ee182zr/66re4Tkv/zp+8bhue6e4JtCv3qmhJzFboMUWRbMh35Bfdqs0Q9XpRbP5P+ECsWEQqBsdgTZHs6tJF4ZBf5zNJFDt11FbT+tziVfV5ixsw+noYPVbN0+gyup82qYVFajpfEolUG1Y6fu1+TgrfXmsMD9YWh5lPP2ilzvyreKaQPURO4nZAm3y1m+/0m9b0PbnywMZ+Y7/59fdrrIEgbrRFqh6wPp0HKlzVPvzn/84y4wC1a+9eGC6YKM4kLT77p/svW/EVbPGnpbHrFs51an5whcQaHUM9Lraqj3RjLvOsKp+0OsJ1UC+Kk4TPaivtyrb3i1uuoxpTYHm/syPUhQqVFa3YhP/F+1z/bEQ6OM6DJcxbYFBoCr5d8o2aX6RUnWOySBQdel2tgyaK95OP7Rcx7QJV/qmlt1JpMNpTtP+4lWPHFwFelCO1LbGnUmgleuqP6tzRo+L6/CqLdJaoO3iEwQ61DUzBZqvdtWTBNQtzrv2bUhamy6U0wgul8yqIFA32gJVzsEbBKp+axaoeoGgWaDFCaYSrmPagPoCn3InXk6gtx0hzzsLf2i80h53nWGleEUx4vP8w/Ny5/22nKNsu7n4HIHOPAvfcxVUfo5LPzt0pS4u9eDa3EuaEKgbBoG2d1sagZabp19/+9PP/2U8BjppC/TIh5cYdDOaVbDYiV9AoGLXgVaHBTrjbsoW6PHfx/kh0EKXz8vN0OW2QGdeB6pmrS2g7Pu++7wOuk0R6DYYduHbK8eFesC9ubBk5BhoOUh6h+PnX19mXMe0Bc1aV+zEix0DPUlA9E6k5riqPu4mHAMtD3penL58UN0xtdQx0Jl3IhmPALzubmLoTVJFfIVAN6Et0NOQVakFqoyMW/NJJNNZeH046mdwuY5pfZQ1Ld+J/7dZAlWCnU7IdwVkp6T2Lvxx1u64Mw0r5Y6k6kkbu/94cbqOJL+X7nnTdkPxmQIdmG1Kj5g2YK8M2/+6JquLCdW5XEGgbnQuY7qqL4OrlpZBoHc/mAVqug60NVSa4zYIdBPUdfDK6UCKItBmFa4vVxR8GtPpJFJ33HWHVV1HvrtfX+L53+ormP5WnY1qXQdaF58p0KEkJ/RIc2dYfT79tlkRGy50p+Z9XrZQO/XkAgJ1QxVodeiouBGjuKCi9ZyDi3JXqjwNVC1l5dCSfidS729tc1eJ2KMQYDKqQMuDi3MvpM9HS/PUyupBlq2nX761fh5oc3F+Z9x1h1VVx4f61qLyKp+ivuIc1AO17d3iykh2EuhAklN65CJTLmN6cOh5lF/74EmeWB7ns2Fv3xIE6kYt0PJE53P9UHnr0nrtKHp1e0c2ci9832VM2dzfTHBC2wu8nSlQ7fx4c0lixfwn0lf7Ofq4Mwyrusz/Vh9gvMiUjYLW/W+d4spIdhJoN8lGgRN6RL188J52s36zshke1aeUmnk+AYG60bwT6UW1Dty2LjNSdhuq97bsnr4ol3w1V71OdZ/G1LmM6UU9UGZd+Qtu6IfRLrJ5Aj18qhZ4876fPzpvAOpOGWqewukanva4M1nu9Aqh0+OVcm6VIVwfaaja3i6ujGQ3gXaSVLYhJ/RIs1q01hJVoN0WVXE6d4DagkDdaH7T9vkOU/H6qtPbAKsL3dXjLsXDPr9++rE+6n2aq1mnqueBluWNw7F4/WDzvFFYFV2g+ZbPvLPw+9OYUG6LEHor59eP3lZTW+POOKzyOuoHfFa5Pa+CNo93r58HqhdvRrKjQNtJqjvhk97K+WMx5W3ddqNA20e9PhdPRf327WEmCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwBEECgDgCAIFAHAEgQIAOIJAAQAcQaAAAI4gUAAARxAoAIAjCBQAwJH/H5wWQSjNX1/YAAAAAElFTkSuQmCC" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50    0.0180023121
## Lag 250  -0.0007917975
## Lag 500   0.0363224445
## Lag 2500 -0.0034685310
## 
## [1] &quot;MR_Female&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.05608806
## Lag 250  -0.01370359
## Lag 500  -0.01367754
## Lag 2500  0.01340739</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.022842742
## Lag 250  -0.020805124
## Lag 500   0.028292408
## Lag 2500  0.005793185</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.01906479
## Lag 250  -0.02422420
## Lag 500  -0.02200948
## Lag 2500  0.01633815</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50    0.0003801503
## Lag 250   0.0359320331
## Lag 500   0.0275027771
## Lag 2500 -0.0233426641
## 
## [1] &quot;MR_Male&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                [,1]
## Lag 0    1.00000000
## Lag 50   0.01380438
## Lag 250  0.01724119
## Lag 500  0.02068202
## Lag 2500 0.02677655</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                [,1]
## Lag 0    1.00000000
## Lag 50   0.05362527
## Lag 250  0.06471593
## Lag 500  0.01818124
## Lag 2500 0.05693536</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.03566019
## Lag 250   0.02173074
## Lag 500   0.04591202
## Lag 2500 -0.01699026</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.003475582
## Lag 250   0.032661115
## Lag 500   0.024683753
## Lag 2500 -0.002849911
## 
## [1] &quot;P1&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.014109056
## Lag 250  -0.019795540
## Lag 500  -0.009409147
## Lag 2500 -0.006036442</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.009456149
## Lag 250  -0.035294747
## Lag 500   0.035385664
## Lag 2500  0.006584190</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50   -0.03268981
## Lag 250  -0.01115246
## Lag 500   0.02415609
## Lag 2500  0.02573296</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.041885207
## Lag 250  -0.013547250
## Lag 500  -0.001551347
## Lag 2500 -0.022242943</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.057102344
## Lag 250  -0.015864091
## Lag 500   0.009929776
## Lag 2500  0.010373488</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.03792313
## Lag 250  -0.03897352
## Lag 500  -0.01853702
## Lag 2500 -0.02945854
## 
## [1] &quot;P2&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50   -0.02149995
## Lag 250  -0.02987682
## Lag 500   0.01385599
## Lag 2500 -0.01262321</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.058045914
## Lag 250  -0.003309378
## Lag 500   0.018708578
## Lag 2500 -0.021117753</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.024151920
## Lag 250   0.003805620
## Lag 500   0.005915936
## Lag 2500 -0.058460159</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.02495937
## Lag 250  -0.01712837
## Lag 500  -0.02128591
## Lag 2500  0.02068059</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0     1.00000000
## Lag 50    0.04015706
## Lag 250   0.02065337
## Lag 500  -0.04345659
## Lag 2500 -0.03585409</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.029279610
## Lag 250   0.007869905
## Lag 500  -0.037219820
## Lag 2500 -0.007443815
## 
## [1] &quot;RML_female&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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SbiahHo2IihA4YEgS4AAvUm3mrtlemvF4FOjii64DVAoN7EWy0CHR0xdMCQINAFQKDexFstAh0dMXTAkKwrUP3DZRQI1Jtoq+0pTH+9CHRyRATaAoF6E221fYWpL1iRQLPHz1tQ9Dg79aNlHAjUm2irRaDjI4YOWIJAlYBAvYm2WgQ6PmLogBWdHzVGoCJBoN5EWy0CHR8xdMCa/YXr05faINAFQKDexFptb13qC1Yl0KNB3X4IvgUCXQAE6k2s1fbXpb1iXQJ1/g2kNgh0EuMKQKDexFotAnWIGDpggzuXg3jbKdPQCSFQz7mCLjIWIq12oCztFWsT6OEgfvwuKAINDAKdmUirRaAuEUMHbPLx/Pw//Fsj0Ekg0JmJs9qhqrRXrE6g00Cgk0CgMxNntQjUKWLogCFBoJNAoDMTZ7UI1Cli6IAhQaCTQKAzE2W1g0VprxiBTo6IQL3mCrrIWIiyWgTqFjF0wJAg0Ekg0JmJstrhopSXjEAnR0SgXnMFXWQsRFktAnWLGDrgEK7fTEKgk0CgJ9i/+vHhd/9e/972+uNTAAjULWLogEOsP0ARqOdcQRcphD/Pjl/W2D0tFbr++FyfEzUpLxmBTgSBes4VdJEyuK6+73a/MOj643N9EKhjxNABB/l8+5fL7Ah0Egh0iI+H/c97L29vf83+zbWJQE+WpLxk7QJ1BIFOAoEOcV3ueWZP/s4NikBPl6S7ZgQ6OSIC9Zor6CIlsK8fVpv9eXQpAkWgzhFDBwwJAp0EAh3AlGVm0AcpAh1Tke6aFQp0f/v+6urq99sPp2ftgEAngUAHaMgy+wXExwgUgXpEDB2wwc0L49mej167Nkegk0CgAzRl+fEs2f2CQEcUpLtmXQLt/C7nvV/cAggWqIZxhEAHMM6BZtwlyVdvEOiIglQXrUqgd8f7lB+e53xzvGfZ7Tfm4hLo4iMPgQ5xnZ/3NF5+9T8RaJh5xKJJoNl5pd1LY8K7M8efhUeg00CgQ2T3gT4ybku+PB4kIdAQ84hFk0CvO6OxOFU/HgQ6CQQ6yHXLl78iUATqHjF0wJLWOaYjd/W35kahWaDdGRCoMN6eNX351vUQSVW1IxhVj+qiFQnUdkJ+/ZP0kQg0pBq3K9B0/+6nxuf5/tczBBpkJqkg0IkgUM+5RqJ66zrBEj+7vS4rDJiFUSTQwyH8rn3XEofwgUCgKxC9QEeWo7lqRQLNrmq2bLm/aN45chIE6rv04HONRPPG5U5k1SJQn4ihA1Zkt4ncf2NM+HTwZ2endBAE6rv04HONRPPG5U5c1Y6tRnPVmgSaP7B2d/7zVcZv+Z30TncxIVDvpQefaySaNy534qoWgXpFDB3Q4O1Z64zR7plbAATqu/Tgc41E88blTlTVji5Gc9W6BJruX5kKrX97ZiwI1HfpwecaieaNy52oqkWgfhFDB2yxv7l6dX5+/vTqtcfz7BCo79KDzzUSPRtX9rU4C9u9DxSB+kUMHTAkCNR36cHnGomejQuBtkCgfhFDBwwJAvVdevC5RqJo4+o8bHHbAh1fi+aqEejkiAjUa66RaNq4stuS3e4KaaOp2lMgUM+IoQOGBIH6Lj34XCNRtXFlBnV7QG0LVdWeAIF6RgwdMCQI1Hfpwecaia6Ny/XZDG10VTtIqO1COAh0ckQE6jXXSJRtXHfTDuKVVTuESymKy0agkyMiUK+5RqJs2zocxE/ZBVVW7QBOlSguG4FOjhjoXA8CnT/YAnw8P/8P/9baqu0HgXpHDB0wJAjUd+nB5xqJ4m3Lg3iqRaDeEUMHDAkC9V168LlGonjb8iCeahGod8TQAUOCQH2XHnyukSjetjyIplq3QhSXjUAnR0SgXnONRPG25UE01SJQ/4ihA4YEgfouPfhcI1G8bXkQTbWOheitG4FOjohAveYaid5Ny4dYqnWtQ2/dCHRyRATqNddI9G5aPsRSLQKdEDF0wJBsVqCnZkWgIoikWucy9NaNQCdHRKBec41E76blQyTVItApEUMHDAkC9V168LlGonfT8iGSahHolIihA4YEgfouPfhcI9G7afkQR7XuVeitG4FOjohAveYaid5Ny4c4qvWoQm3hCHRyRATqNddI1G5ZXsRRLQKdFDF0wJD4lTvUCoF6zjUStVuWF3FUi0AnRQwdMCRzC3Q4PgJ1R+2W5UUc1SLQSRFDBwwJAvVdej4TAp2XOKpFoJMihg4YEgTqu/R8JgQ6L1FU61OE2sIR6MRWCNQv1ljUblleRFEtAp0WMXTAkCBQ36XnMyHQeYmiWq8itFaOQCe2QqB+scaidcPyI4Zqw29jkkGgE1shUL9YY9G6YfkRQ7UIdGLE0AFDgkB9l57PhEDnJYZqEejEiKEDhgSB+i49nwmBzksE1XqWoLVyBDqxFQL1izUWrRuWHxFUi0CnRgwdMCQItGcSAhVBBNUi0KkRQwcMCQLtmYRARRBBtQh0asTQAUOCQHsmIVAR6K/WtwKtlSPQia0iFGhvWAQ6N/qrRaCTI4YOGBIE2jNpZoH6DzOtG5Yf+qtFoJMjhg4YEgTaM2l2gfoOC60blh/6q0WgkyOGDhgSBNozCYGKQH+1CHRyxNABQ4JAeyYhUBHorxaBTo4YOmBIEGjPJAQqAv3VItDJEUMHDAkC7ZmEQEWgvtrNXS1EoBNbIdBxy+pteSKm0u3KE/XVItDpEUMHDAkC7Zm0qkCH+3fMImNBfbUIdHrE0AFDsmGBDrdeRqC29keB9sdVul15or5aBDo9YuiAIUGgPa2XEqh1RxiBlqivFoFOjxg6YEi2J9BiHgSqAu3VTshfaekIdGKrDQu0bz4E6o32ahFogIihA4YEgfa09hOofUYE6o32ahFogIihA4ZEuEAdDYtAY0N7tVPy11k7Ap3YKrBAB5fkFK+epycyApWH8monpa+zdgQ6sRUCHZEoAh2J8moRaIiIoQOGJGqBWhvPLFDbvAjUG+XVItAQEUMHDEnkArXbDIGqQXm1CDRExNABQzKTQKsZEKi9PQIdh/JqEWiIiKEDhgSB9rQeK9BmGwQaGOXVItAQEUMHDAkC7WmNQEWgvFoEGiJi6IAhQaA9rRGoCJRXOy19lcVrFej+/dXvf7k3m1Ggx5m0CnTclTAEOjfKq0WgISKGDljx+bZU5rsfsm052X3/wTHErAJNWnN2miFQBDqM8moRaIiIoQOWfHmSfPVH9sf+16Rk99wtxsICTdrzDgS3aW7YxwhUJPvb91dXV7/fun64Z+ir1mRi9iqL1yjQy8yc352f/5ht0G4GRaD21gg0EDcvkppHr12bK6u2BQINEjF0wJJSoHeHoZkfu3+6SAqnjmXrAu3zJAINwqcfkib3fnELoKraDgg0SMTQAUtKgR52QB8Uk/YHgz52iYFA7a0RaAjuzrIeenie843HOSZN1XZBoEEihg5YUgg0k2Y1Kg97o/ddzjWFEWhLPUmCQAfSMuLHLdDDAE12L40J786WOUKSAgINEjF0wJJCoNWpUGPaaEIJNDH/RqCDaRnx4xbodUeXmVIXOEISwtTkVRaPQD1aIdCqEQKtaBwaFSxzhCQEBBomYuiAJfU50F11av7jmRCBJnMJtJ4SlUAbZcUhUNuH+TIf8EJAoGEihg5Ykg3GzJx3xmHRWudANy3QOmMEaoBAEWiQiKEDlmQnlJLk6395/a/VLuhC55gQaDUXAu3lcAi/a9+1xCH8gu1XQZ1Ac44f6/s/F7rKiUCruUYI1Jhs+DJ+gWb317VseXBqdcvdKBRV2wWBhokYOmDN/ubVj2e1QI+3jbjdqbyQQNu6GFo6Ao1FoB8PY/P+G2NC9kUPtwGqqNoOk3NXWbwqgR45WrQU6L03J+dvoFGg5gyD8QYEmiDQBbjOOmh3/vNVxm/5nfROZ5hUVdsGgQaKGDpgL/v/4ajPCAXaa8HmPAh0Ed6eJU12z9wCqKq2xfTcNVavWaAebFGgCQJdjP0rU6G7p8s8blEGCDRQxNABQ7JpgXZm72mKQKewv7l6dX5+/vTqtcfz7NRVa4BAA0UMHbDN8s9bjEagvZ5EoGuQWFg7J28CpK6xem0CXeV5i0sKNGm9ZxdodUCOQBWDQIOHWBxdAl3peYsSBZqUb9vTauaHQJWguFoEGipi6IA1iz9vse2BarJpgvkFWu1vmhmUb7cndsJ3BdoXbyjNMlYjYwQaGMXVItBQEUMHrFj+eYsItBOrkTECDYziahFoqIihA1Ys/7zFrQm0+0YnViNjBBoYxdWGSF1h+YoEur9Y/HmLhS82JNAkHegkBDo3iqtFoKEihg5YssLjwhBoJ1YjYwRqYD7sxmArj7NDoKEihg5YgkAbGZRvtyd2wrsJ1C7FOlYjYwRqgEBFxFgYRQLdL/+8RXUC7S5hfYEWhRmLaSw8GoF2b7JDoCvEWBhFAl3heYsKBdpeBAJdjmw4uj19qY2malsg0FARQwescH7eom2HYGDmnmlTBdpwRf9yBQi0qsSSZhmrkTECbZIZ1O3G5Baqqm2CQENFDB2wxvV5i6MEagrM+t50gXat0bP87Qm07rqexeraplzPybfRVa1JkMwVlq9KoLM8bzG0QGuPziVQUzkIVBZ30w7ilVVrECZzffXrEugcz1s0BGaxT+oh0DKQYY2usmzLHy3Q2mSCBVq+uymB7i8m7YIqq9YAgQaLGDpgi9DPW2wItGPKFIE2YzUyRqAdPp6f/4d/a23V1iDQYBFDBwwJAq0jIVB56K0WgQaLGDpgSBBoHQmBykNvtQg0WMTQAUMiWqCJRaBldLP1OIEWf40WaIJA10dvtQg0WMTQAUNiMaRMgVZNlxNotbfrKtDW/BaB1gtGoIOorTZQ4vrqVy7Qqd+FN5SDQP0F2t5tRqCeqK0WgYaLGDrgEFEItDIdArUtsyeZKFFbLQINFzF0wCGWFmguhekCNRaEQBFohdpqQyWurgOUCzT9fPuXy+wzC7T+f/FW+Q8CRaBjUFstAg0XMXTAkCBQM3i7H2wCbc9lTEKgwVFbLQINFzF0wJBMFGgSTqCNmPVstTjN4E37LC3QRq1Gw9EC7ZaAQO1orTZY3uo6AIEGFKgh0nLuulFj6QgUgdrQWi0CDRgxdMA2+9v3V1dXv996fBV+RYEWSjFaGTGbsyHQ5vI3hNZqEWjAiKEDNrh5kdQ8eu3a3FmghtXSWnJbE6hpOwQ6I1qrRaABI4YOaND51Zl7A8+jtzFaoIbI1Am04cdGcgIEWvd2HTKp5ks7qNuiJqG1WgQaMGLogDV3x4eBPjzPOT6Qfuf2CwouAjV33OrZESgCnQ+t1SLQgBFDB6zIfjd299KY8O7M8UcP7QKtfDKvQE0zIVAEakNpteHSVtcBmgR63dFlplSnX1DYikDrd+wCrT2bduZCoOuhtFoEGjJi6IAl+4vuTx5O/V14bQI1jJTWimqkIkGgRhoI1AWl1SLQkBFDByyxfe89yHfhESgCFYLSahFoyIihA5bMKNDKRk2B1lqpZ9+eQE3rWQRqdoYlDQTqgtJqEWjIiKEDluwvkl37rqVAh/CmQM39UQSKQBdFabUINGTE0AErLju2PDg1eeASIiqBtmWHQNWjtFoEGjJi6IAVH88OBn1jTPh08Gdnp3SQUQKtX1kE2jCRGWFWgTZ8aZlgpBJSoPU0M2uzuxBoUJRWGzBtbT2gSaDZfUwHY57/fJXxW34nvdNdTCMFmhjqsNrS8MxSAjUCSxSoEayRRtOxCPQESqtFoCEjhg5o8PYsabJ75hYAgdbhEag8lFaLQENGDB3QZP/KVOjuqesTmRBoHd5MyJwrsEDbCy7/MkImVVmn11jcKK0WgYaMGDpgi/3N1avz8/OnV689nme3mEBLwaUItLXgxEwZgTZRWi0CDRkxdMCQhBVoYkZoeg6Begq0u4ZGrdhIUFotAg0ZMXTAkPQJtHSOAIGaO2Od5SHQuNFZbcistfUAAm0rsXfrTy1CswvUEFyKQFsLTsyUEWgTndUi0KARQwcMiSyBlgHS5mySBNqo35Rfp+pWn/oJ1OjrnjUWNzqrDZq1si5AoC1FLSvQeq6lBNoq0SwMga6OzmoRaNCIoQOGJAaBNuLPINCkmWYd1CJQI7lWnyJQH3RWi0CDRgwdMCQrCbRjGWOGMnrVtnobgVrWWNzorBaBBo0YOmBIZAvU0ItYgSbzCLTRcUNrLG50VotAg0YMHTAkEQi0GV+0QJuz1I2MFdHJDoGqI2zSyroAgbYUhUCTZpp1UAQ6OyqrRaBhI4YOGJKxAu1KpzP7pgRat0Ogc6KyWgQaNmLogCHxFmiP0CIVqKm3Ngh0RlRWGzhpXX2AQFuK6hVo2xpxCzTpdo/RvPMWAg2DymoRaNiIoQOGBIEiUG3Br6wAACAASURBVMmorBaBho0YOmBIEKgp0NpWtrna3WM077zlI9C60u6M/WssblRWi0DDRgwdMCRSBWourjIQArWssbjRWG3onHX1AQJtKcq2SS8h0GbgdtNyeYoFakxKEWgPGqtFoIEjhg4YEgSKQCWjsVoEGjhi6IAhQaCzC7SxlE7LMjYCtaKxWgQaOGLogCHxFWi12bfn9hBoQ2GbFqi9t4fXWNxorDZ4zqo6AYG2FLWwQC2yCSbQOgQCVYLGahFo4IihA4YEgY4XaG83dDLulGaZI2m8h0DtaKwWgQaOGDpgSAYFmvRt0sZm33CGu0Dt2lxXoPXf3bks2KXXCoVA/dBYLQINHDF0wJCsL9DWDBbZaBVogkAno7FaBBo4YuiAIVEl0NbiE3eBdpbZKTHtFWjSAwKdEY3VItDAEUMHDElsAi1zMIppCrSVVN0QgUpEY7UINHDE0AFDgkDnFqi9pnYIBGpHY7UINHDE0AFDclKgA/ZIbZ6zO6oySGMZywg0qedDoNrQWC0CDRwxdMCQIFAEKhmF1c5gEE2dgECtW3jvZt+eZ3GBNuOXabWKESDQ/gAItB+F1SLQ0BFDBwyJUIHaFh6xQBME2oPCahFo6IihA4ZkpEB7tnoE2m7eeQeBTkJhtQg0dMTQAUMSr0Abb6bJgA0baaQIVBIKq0WgoSOGDhiSgAJtaQKBItDpKKwWgYaOGDpgSDQItPN2PdMMAjVCTRVoc/rWBbq/+f0v50YKq0WgoSOGDhgSBIpAZ+X91dWb7N9PP2Sl7P7u2FxZtek8GWvqBQQ6Guvs8wnUtqSZBOqSBgId4O1ZVsD9D+ndWVHM4W8XVFV7BIEGjxg6YEiWF2hnXgQarUCviwoefHly2Ps8P/8m+9spgqZqcxBo8IihA4ZkPoHa3wos0GY6RloIVAAfD7ud937+7XDw/rckeZxNyYz63CWEomoLEGjwiKEDhgSBItDZuMyP2PcXSbXjeem4C6qo2gIEGjxi6IAhWVyg3XkRaKQCzcR53N28Oxy//5JPO+yUOp0F1VNtCQINHjF0wJAsKdDO221RjA3Sl47xh7dAB/I7tVz7u6OiRSnQL0+Sr/5o/NH404K9a3SBQINHDB0wJFMEalWHi0AnztVuhEBlsUmBzpOwom5AoONBoI3l2t8dFS1KgR4O4fMj98Nx+2YO4REoAh0NAm0s1/7u6BjRCbS6YnT4N78If7wMH/dFJASKQEeDQBvLtb87OkZ8Ar07JP/97e2vSfKw3heN/DYmBIpAR+Mh0JGBvRohUGlcFhXc/18HcT66unqRuH4VSVO1RxAoAh0NAm0sdwKRCnT/67GAw95n+Z2koUtINjRVewSBItDxm/3Iac6EEWgzIAJdg5t/PPz2abbP+Wf+ZfhHbl+FV1btbPkq6gYE6rDZj5zmDAJtvjm0xrSwf/+P85+dn2enrVoEikAdNvuR05xBoM03h9ZY3Girdq589fQDAnXY7EdOc0aVQEOUjEB70FYtAkWgDpv9yGnO6BJoAKprXgi0ibZqESgCddjsR05zZrpAuwF1CNS23OE1FjfaqkWgCNRhsx85zZnZBWpZmiCBdt4cWmNxo61aBIpAHTb7kdOcQaDNN4fWWNxoqxaBIlCHzX7kNGcQaPPNoTUWN9qqRaAI1GGzHznNme0JdGhpw2ssbrRVi0AVCnR/+/7q6ur3W8cveRxBoAhUMtqqRaDaBHrzwtjUHr12bb4RgQ7GRKBy0VYtAtUl0E8/tDa2e7+4BYhIoHVrBBoN2qpFoKoEend8QsPD85zsV7eTndPjFhFogkAlo61aBKpJoF+eHIT50pjw7sz1eWEIdOB9BLo6yqqdLV09/aBJoNcdXWZKfewSQqZAp4FA40FZtfOlq6YjFAl0f9H9fYQ7x0d+I9CB9xHo6iirFoFqEqjtJ2KHfza2CwIdeB+Bro6yahEoAnXc7MdMWxjHKspWoybNBALtQVm1CFSTQPcX1c9tV3AIj0BjQlm1CFSTQLMfPWzZMjstOul3t503+zHTFgaBxoOyahGoKoFmv7J9/40x4dNF0t0pHQSBVq1GTZoRBGpBV7UzZqumIzQJNP+x2N35z1cZv+V30jvdxTRNoE4aWA4EGg+6qp0zWy09oUqg6duz1sa2e+YWILhABRBMoMuCQC3oqhaBahNoun9lKnT31PWJTDEK1I/VS0egFnRVi0DVCfTA/ubq1fn5+dOr1x7Ps0OgJauXjkAt6KoWgWoU6CQQaMnqpSNQC7qqRaAIdLOsXjoCtaCq2lmT1dITCgW62hPpo2L10hGoBVXVzpuskq7QJtA1n0gfFauXjkAtqKoWgabaBLruE+mjYvXSEagFVdUi0FSZQFd+In1UrF46ArWgqloEmuoS6NpPpI+K1UtHoBZUVYtAU10CXfuJ9FGxeukI1IKqahFoqkqg+4uVn0gfFauXjkAtaKp27lx19IUiga7+QOXBzV4bqxeCQC1oqhaBZiDQQJu9NlYvBIFa0FQtAs1QJND92k+kH9zstbF6IQjUgqZqEWiGIoGu/kT6wc1eG6sXgkAtaKoWgWZoEqjzE+nHbJ6hNnttrF4IArWgqVoEmqFJoM5PpB+zeYba7LWxeiEI1IKmahFohiqBCngi/ereCcXqhSBQC5qqRaAZugS6/hPpV/dONCBQC5qqRaAZygSarv1EegQaCgRqQVO1CDRDn0AngUDF0NeTJ9ZY3GiqFoFmIFCHbXv4LQjCiTUWN5qqRaAZCNS2DQ9s3vNYAypOrLG40VTt7Lmq6AwEatuGBzbveawBFSfWWNxoqhaBZigX6DzfhUegDZat+cQaixtF1c6fqorOQKBuxtiGQNOBV7Mve3iNxY2iahHoEQRq24YHNu95rCEMBLoSiqpFoEeUCzT9fPuXy+wIdBQIdCUUVbtAqhp6Q7tAHUGgo1hRoKfWWNwoqhaBHkGgto14YPueRxvCQKAroahaBHoEgdo24oHtex5tCAOBroSeapfIVENvKBTo/vb91dXV77ceX4UfI9AUgSLQtdBTLQLN0SbQmxfGxvbotWtzBDoKBLoSeqpdJFMF3aFLoJ9+aG1u9waeR28DgY4Cga6EnmoRaI4qgd4dHwb68Dzn+ED6XfuX4ofpF2hq/IFAB17NvegTayxu9FSLQHM0CfTLk4MwXxoT3h2E6nQffb9A8z/TBIFmINCV0FMtAs3RJNDrji4zpQ79KFIHBDoKBLoSeqpFoDmKBLq/SJL2AXuw34VHoCYIdCXUVLtQovL7Q5FAbd97D/ZdeKkCXUfYCHQl1FSLQAsQaLXdJgjUvtQlczi5xuJGTbUItECRQA+H8Lv2XUsBD+ERaN9SEehiqKkWgRYoEmh62bFldlr0gUsIBOqxVAS6GGqqRaAFmgT68exg0DfGhE8XSXendBAE6rFUBLoYaqpFoAWaBJrdx3Qw5vnPVxm/5XfSO93FhEDHLQOBroSaahFogSqBpm/PWtvb7plbAAQ6ahluAg2Z48k1FjdqqkWgBboEmu5fmQrdPXV9IhMCHbUMBDqZz++vXrs/L0xNtQi0QJlAD+xvrl6dn58/9RmfCHTcMhCoJzc/Hu+qKz/n77082aKJmmoRaIE+gU4CgY5aBgL1Yv8i/7JxdnNIwfdun/Jqql0qUfEdgkCrDTdBoPYpowUaINmTa0wwR28eBHr8d3c4Ssp2Q53ustNTLQItQKDVhpsgUPsUBDqOu0P+/8eH/N/jzSH7f069zU4sCLQAgVYbboJA7VMQ6DguC29e1vudlxO/6CGVxfIU3yEItNpwE1+Bpq7icJgfgYoeTyZfnuS7m+W/GR/Ppn3VWCoItASBVhtuIlWgc0t0WKDpyfIQ6JHywTbmA26GH3YzqgNEslye0nsEgZqaQKDdKSkCHUcpy/0FAtW4JD8QqKkJBNqdkiLQcWQX348P/L6sD+GnPi1MKgi0BIGamtAl0FBiRaBhKH9y5uNZeeUoc+qkn5yRCgItQaCmJhBod0qKQEeS/ULXvexpYdflbUy/xnob04J5Cu8SBFpttwkCtU1JEehYjj+7/e3Pt7f/PJj06W8vspfTnhYmlCXTFN4lCLTabBNJAi1jugrUx2GrCdTS8OQaE83H9tPCHP2ppVoEWoFAq802QaC2KSkCHU/zaWHRPkwEgVYg0GqzTRQKtPMWAl2bz7+d//jwwLc//Rzt4+wQaAUCrTbbBIHapqSnBWom67XgmAQ6CSXVItAKBFpttgkCtU1JEehyKKkWgVYg0GqzTRBoGRWBroSOahfNUniXINBqs02WEuiY+b0EOpx6/7I6QRDoSuioFoHWINBqs022KNBu/FUFenqNxY2OapfNUnafINBqs02aArXbAIFaYiDQUOioFoHWINBEjkDT7jwIVPR4Co2OahFoDQJN9Ag07cyOQONCR7UItAaBVpttrZPwAm3M4SvQdjvVArV/MpxeY3Gjo9qFsxTdKQi02mzrrTrtaqXawMdO7Ori9PxhBOrkUAQqChXVLp2k6E5BoNW0eqtuC7T+c02Bpgg0elRUi0ANECgClSJQ62AUvfUER0W1CNQAgcYg0DQ1JswpUGvsFIGGQkW1iycpuVcQaI9A7drIp7ZFpk2grdI6ya0l0DFrLG5UVItADRCou0A7Ijtt0CkCNS51dWYPLtAUga6JimoRqAECRaABBJr2vzuQAwJto6JaBGqAQOcUaNr5owoyOPtqAi37qJFtn0DTRqP2u6dzSFvdM2qNxY2KapdPUnC3INB5BNoyijCBGgW1FzuPQK0dVEdGoAUqqkWgBgg0qEDb+1R28YwUqJFNazG1gxoRpwi0dhgCXQ8V1SJQAwQ6q0Ctl1fGCdTIrp7UcVAjYlugvctBoEJRUS0CNUCgpwXa/nNxgZpyazmoEdFZoD3LQKBroaJaBGqAQBHo3AJNbe8gUBsqqkWgBgg0lEDThkL6BZqmTT/Z/25mZ2uIQCNEQ7Ur5Ci4WxDosgKtFmVTkqGhZnZNT3XFlKblf8cLNDUzTxGoCDRUi0BNEOhyAk2TZEigqamhZnZNT3XFtJpA0zRJEGg4NFS7Ro5y+wWBThNoQ0M9Ak0TBGqdiEDbaKgWgZogUASKQMWgoVoEaoJAFxVovdiuktJSgFWaTc+0GgoQaNpIFYFOR0O1CNQEgQ4ItKEnQz1jBWosoemHpkhMUyHQE2ssbhRUu0qKcvtl4wKtlJWOEGipFmeB1v9US7UoycgGgfavsahRUO06KYrtGAQ6m0DrqPU/1VItSjKy6RVouykCjQsF1SLQBgh0skCNtrUrEGjzw6SbAwK1oKBaBNoAgc4sUGMGc6kWJRnZTBNo2o3dktfsAk3NVwh0NAqqRaANEKhogaYIVPR4Co2CaldKUWrPIFAfgaYtD0Ql0PZSEOhyKKgWgTZAoAh0vEAbbyDQ8Mivdq0MpfYMAg0p0LrRNIEaTRcUqLHsxswIdDHkV4tAmyDQkwJNRws0NRoNCtTwyfoCTdPushszI9DFkF/tahkK7RoEikBXFGjds60O6l9jUSO/WgTaRKtA9++vfv/LvZkugVbNDb+0HGSKTb5Am3XXC0KgBfKrRaBNNAn0822pzHc/HLe43fcfHEPMLtC0dkljkS0/NERimsqeseGXpNFUpkDrzmzn2Uy+1XDcGosa+dUi0CaKBPrlSfLVH9kf+1+rzXD33C3GEgJtvUKgTYGandlsOG6NRY34atdLUGjXaBTo5WFj2313fv5jttW5GRSBVrMjUIGIrxaBtlAo0LvDtpYfu3+6SAqnjmVOgZpB5xNoa9mm2IYE2jKfmTkClYP4ahFoC4UCPeyAPigm7S+S5LFLjGGB1mLZgkDNqps9EUSgjTQQ6DjEV4tAW+gTaCbN6rj9sDd63+VC0ooCbS22azZbei4CrauxWLN22+oCtVSDQAvEV4tAW+gTaHUq1Jg2mrECrd7SKtAUgWpEfLUrJiizbxBoTAJtVIFA9SG+WgTaQp9A08tk90s57eMZAkWg8SC+WgTaQplAM3PeGReO5joHWr3VL9A0Teq5Ny/QeqEIdALiq0WgLXQJ9MDX//L6X6td0GzSLFfhq7caAs2nbl2gqfEOAg2L+GrXTFBk56gTaM7xuH3/51nY+0BVC9SYfyWBpqnZBIF6IL5aBNpCkUAPxrx59eNZLdDMqPXp0FEsJdCWWOwCbUnOlp4igRrN6jTKJBt5ItBexFeLQFuoEuiRo0VLgd5749Z4GYE2ltQn0LQKELNAy7gIdBTSq101P5Gdo0+gNfv/4ajPJQXaWiQCRaAjkF4tAm2jWaAebFOgqfFnPYc5f7MnEOhaSK923fwk9g4CDSLQk4vsEWjasNNMAq1LcRdo+1URNUWgsyC9WgTaRqFA97fvr66ufr91fZhyxmmBpubrDQjUWAYCXR3p1SLQNtoEevMiqXn02rW5s0BNyRVTRQq0MT8C1Yr0ahFoG10C/fRD0uSe211MrgJNK7lMFWhn4jYEWsVFoKMQXu3K6UnsHVUCvTveBPrwPOeb7IXjb3qsINCePBCo0SRNzUnd+jeD8GoRaAdNAj3eOP/SmPBuhm8iLSXQVuzZBVoHQaByEV4tAu2gSaDXHV3O8F14q0BTUxghBGosAYEi0Arh1SLQDooEur/o/oRciKcxmX9uQaB1Fa1lINDVEV4tAu2gSKC2hyeHeKCy+ScCbS+j9WpYoHU6CNQL2dWunt3qCXTZukAt7yFQBLoWsqtdPbvVE+iiSKD7i+6zlyYfwlveQ6AIdC1kV7t6dqsn0EWRQLPfM27Z8uDU6ieOR4FAmzXaK0egayG72tWzWz2BLpoE+vHsYFDzAUyfLlwfCCpQoJWe7OnNI9DhytsCNVJEoGPZv7/63fnbxrKrXT271RPookmg2X1MB2Oe/3yV8Vt+J73TXUwIdFTlNoGmIQXaXlKMAnU9PX9EdrXrZ7d+Bm1UCTR9e5Y02T1zCxCHQEsdLSbQckmt8M02dTsjDQTqhOxq189u/Qza6BJoun9lKnT31PUYKU6BtudHoKvw+dbk5iDQ14d//3IJIbva9bNbP4M2ygSaZj/pcfXq/Pz86dVrj+fZbVSgVQlSBNpqEYVAzR89NAh2m936rJ/d+hm00SfQSYwRaPP1nAItl4NAEWiO7GoFZCcghSZRC9Q2nofmtr1GoPUy2+Gbbep2xnwbEujxDP3uvORvZ8nuu8O/P4W6T3l9BGQnIIUmCNSY2/YagdbLbIdvtqnb1S/KppsQ6PG2uup3YkdcRHIbn6sjITkJOTSIWqBdEKg9g+a/CNSXPw+7nX/P/0SgsebQQLlA5/gufPN1PAItc7dl0PwXgXqT/WZC/mWP+G5jkpCchBwaINDe9xAoAnVn/8/i7mQEOgsikjBAoL3vbUegjWU1ckKg7nw87IQ++oBA50FEEgbKBZp+DnejslaBdudHoKuy/zX76ZnoBCojNxlZ1GgXqCMIdDiTdk5hBGq8sQWB5jc0fXeGQGdARhY1CLT3PQSKQH3Jbmhy/cHDDMnVyshNRhY1CLT3vVgE2ljSiUzaOSFQX/50/sXYDMnVyshNRhY1CgW6v31/dXX1+63HV+EVCrSexcjrpECr5BDoWnz6h9uXkI5IrlZGbjKyqNEm0JsXSc2j167NXcrdtkDbLkSgSyC4WiGpCUmjQpdAs9uUG9xzeh59lAK1ZD1doGnHhS2BGh3TioBAJyC4WiGpCUmjQpVA744PA31YPK3h+ED6XfuX4oeJR6BWexoh1hFoYyEI1BnB1UpJTUoeBZoEmj0vbPfSmPDO+UQ9Ah3OpJNWc5lmmIACTY3+HcwpegRXKyU1KXkUaBLodUeXmVKdfhQJgQ5n0kmruUwzTDCB1umezCl6BFcrJTUpeRQoEuj+IknaB+whfxfePq88gRaLX0+g6QSBWpukRv8O5hQ9cqsVk5mYRHIUCdT23biQ34W3zytUoOnsAm1IDYEug9xq5WQmJ5MMBHpi3g0LNEWgSyO3WjmZyckkQ5FAD4fwu/ZdS5s9hO8VqNlkVoH2tEGgU5BbrZzM5GSSoUig6WXHlgenJg9cQmxQoM1pJzLpxKjfQaALILdaOZnJySRDk0A/npVP+y7IHtnQ2SkdRKhA09kE2lnScCbdzKp3EOgCyK1WTmZyMsnQJNDsPqbsdw9/vsr4Lb+T3ukuJgR6IpNuZtU7CHQB5FYrKDNBqSgT6PE5iw2OP57gAAIdzqSbWfUOAl0AudUKykxQKtoEmu5fmQrdPXV93A0CHc6km1n1DgJdALnVCspMUCrqBHpgf3P16vz8/OnVa4/n2SHQ4Uy6mVXvINAFEFutpMQk5aJQoJNAoMOZdDOr3kGgCyC2WlGJSUoGgZ6YdxmBFstBoCdzihux1YpKTFIyWgX65ceH3zr/YMLmBGpd0lCbvvkR6DKIrVZUYpKSUStQnx+NRaAIVDZSq5WVl6RsEOi4FhsXaPMFAp0LqdXKyktSNgh0XAsEikAXQGq1svKSlA0CHddiVoFW/1Ui0KE2/gIdl1PcSK1WVl6SskGg41oYAi1eBhOosRxHgQ7HUybQkTnFjdBqhaUlKR0EOq5FSx8ItK8NAp2C0GqFpSUpHQQ6rkWrYS3QUEQk0GYLBOqA0GqlpSUoHwQ6rgUCHSvQdgsE6oDQaqWlJSgfrQL1BIGezKFvfl+B1ukMLR2BHpFZrbisBCWEQMe1QKAIdAFkVisuK0EJIdBxLeQJ9GQ8BKoPmdXKy0pORgh0XIuOQFMEeioVBOqMzGrlZSUnIwQ6roX9wseSArUkdTJeN4xTGwS6NDKrlZeVnIwQ6LgWawt0+PWIJvm01QTa2YkeG0bOprIEMquVl5WcjBDouBbO9vBaDgJ1iR8hMqsVmJWYlBDouBYIFIEugMhqJSYlJicEOq4FAkWgCyCyWolJickJgY5rgUAR6AKIrFZiUmJyQqDjWiBQBLoAIquVmJSYnBDouBYItKctAg2JxGol5iQnKQQ6rsVGBXpyMQg0KBKrlZiTnKQQ6LgWmxToGBBoSCRWKzEnOUkh0HEtEKh7m45AfcKI2VIWQWC1AlPKkJIWAh3XAoG6txlzCvXk21I2lGUQWK3AlDKkpIVAx7VAoO5tEKgzAqsVmFKGlLQQ6LgWCNS9DQJ1RmC1AlPKkJIWAh3XAoG6t0GgzgisVmBKR4TkhUDHtUCg7m0QqDMCqxWY0hEheSHQcS0QqHsbBOqMvGrlZVQgJDEEOq7FugL1WC4C1Yi8auVlVCAkMQQ6rgUCdW+DQJ2RV628jEpkZIZAx7VAoO5tEKgz4qoVl1CNjNQQ6LgWCNS9DQJ1Rly14hKqkZEaAh3XYva1hUDD5aQXcdWKS8hARG4IdFwLBOreBoE6I61aafk0EJEcAh3XYhMC9QGBhkRatdLyaSAiOQQ6rgUCdU8FgTojrFph6bQQkR0CHdcCgbqngkCdEVatsHRaiMgOgY5rgUDdU0GgzgirVlg6LURkh0DHtUCg7qkgUGeEVSssnRYiskOg41ogUPdUEKgzwqoVlk4bCekh0HEtEKg7CNQZWdXKyqaLhPwQ6LgWCNQdBOqMrGplZdNFQn4IdFwLBOoOAnVGVrWysrEgIEEEOq4FAnUHgTojqlpRyVgRkCECHdcCgbqDQJ0RVa2oZKwIyBCBjmuBQN1BoM5IqlZSLn2snyMCHdcCgbqDQJ2RVK2kXPpYP0cEOq7FMmsKgY5/I0oEVSsolX7WTxKBjmuBQN1xWRwCPSKoWkGpDLB6lgh0XAsE6s4GBbp/9ePD7/79Q/X6y5Pkqz8c2guqVlAqA6yeJQId1wKBurM9gf55lmTsnpYKRaAzs3qWCHTmhrMsBYGK5DopuV8YFIHOzOpZItCZG86yFAQqkY+H/c97L29vf83+zbWpV6ByMhlk9TQR6MwNZ1kKApXIdbnn+emH0qAIdGZWT1OhQPe376+urn6//XB61g4IdEFclhaBQPcXSfK8/vPoUrUCFZPIKdZOVJtAb14kNY9euzZHoEKJQKCmLDODPkhPCTSxsEiqpxGTyCnWTlSXQLNjowb3fnELsB2B2puJ3SwiE2j2InmsV6BS8jjN2pmqEujd8S6Rh+c53xzvGHnuFAGBCiU2gWZXlHa/qD2El5LHCFZOVZNAs0/13UtjwruDUJ3GJwL1arcAEQjUOAeacXcYm28Q6Owg0NFcd3RZHCiNJxKBeocXu11EINBsfD5ovvzqfyLQuUGgY2l9wh+5q+9ZHgUCFUoMAs3uA330V/368nhSU6NAhaQxjnWTVSRQ2+HQYodICHQlNKV83fLlrwh0ARDoSBDo9PCaNowcVSm/PWsOx7euJ+mFVCskjXEg0JEcDuF37buWOIR3C69pw8jRlfL+3U+N4bj/9UyhQGVkMRYEOpbLji3L+5VHg0C1oTDlCcioVkYWY0GgY8lO0t9/Y0z4dPBnZ6d0EASqDYUpT0BEtSKScGDVfDUJNH9c2O7856uM3/I76Z3uYkKgs8afA4UpT0BEtSKScACBjubtWeuLb7tnbgEQqDYUpjwBCdVKyMGNNTPWJdB0/8pUaP3k77EgUG0oTHkCEqqVkIMbCNSF/c3Vq/Pz86dXrz2eZ4dAtaEw5QlIqFZCDm4g0MVAoNpQmPIEJFQrIQdHVkwZgc7cUNJSEKh0BFQrIAVnEOhSIFBtKEx5AgKqFZCCO+sljUBnbihpKQhUOutXu34GPiDQhUCg2lCY8gTWr3b9DHxAoAuBQLWhMOUJrF7t6gn4gUAXAoFqQ2HKE1i92tUT8GS1vBUJNHv8vAUeZ+cQXt/moTDlCaxd7drL9waBngaBTg+vb/tQmPIE1q527eV7g0BH0PlRYwTqGl7f9qEw5QmsXe3ay/dnrcw1CTTdX7g+fakNAtWGwpQnsHa1ay/fHwQ6hr3ld+WcQKDaUJjyBNaudu3lT2Cl1HUJ1Pk3kNogUG0oTHkCK1erGsIUUgAAGK1JREFUubMR6Cjuph3EI1BtKEx5AgjUn3WS1ybQw0H8lF3QrQt01vCzoDFnf9atVndfI9BRfDw//w//1tsWqEa21SUI1B8EugAIVBvb6pJVq1Xe1Qh0ARCoNrbVJQh0Aqvkj0BnbihwKarYVpcg0Akg0NDYvrjkHSpoZqsuRRXb6hIEOoU1CkCgY0MFzWzVpahiW12yZrX6exqBzg4C1ca2ugSBTmKFEpQL1PWbSQhUG9vqkhWrjaGjEagrCDR2ttUlCHQayxeBQGduKHApqthWl6xXbRz9jEBd+Xz7l8vsCFQb2+oSBDoNBDozCFQb2+qS1aqNpJsR6MwgUG1sq0sQ6EQWrwOBztxQ4FJUsa0uQaATWfyJjQoFur99f3V19fvtB4+2CFQb2+qStarV+KRYOwh0mJsXxreKHr12bS58nAhPbw221SXrCXSd5c7AwqXoEmjndznv/eIWQPhAEZ7eGmyrS1aqNqZORqD93J1l0nx4nvNN9mLn9htzwkeK8PTWYFtdgkAng0B7+fLkIMyXxoR3Z44/Cy99pAhPbw221SXrVBtVHyPQXq47usyU6vQbc8KHivD01mBbXbLSIy2j6uNlq1Ek0L3lR+HvkuS+y9V44UNFeHprsK0uieSZwKuy7OeBIoHavve+2Hfhl0F4emuwrS5BoAFAoHYQ6BbZVpes80jg2Lp4yYIUCfRwCL9r37XEIXzsbKtL1hHo8suclyU/EhQJNL3s2DI7LfrAJYTwwSI8vTXYVpdE8UTg9UGgVj6eHQz6xpjw6eDPzk7pIMJHi/D01mBbXbLG04Qi7GAEauf6eOv8+c9XGb/ld9I73cUkfXMUnt4abKtLYngcmwAW/FRQJdD07Vnrq5y7Z24BhA8X4emtwba6BIGGYTmD6hJoun9lKnT31PWJTMKHi/D01mBbXRLB4yxlgEB72d9cvTo/P3969drjeXbCx4vw9NZgW12y/MPYYu3epQrTJ9BJCB8vwtNbg211ydJfQ4y3d5cqDYFKQnh6a7CtLtH+PW5BINBBvvz48Fun5zDlCB8ywtNbg211ybLfoYm6bxeqTq1AHb/DWSB8yAhPbw221SWL3sAYedcuUx8ClYTw9NZgW12y5P2L0XfsIiUiUEkIT28NttUly1073kK/ItB+EOhG2FaXLHXebhP+XORjAoFKQnh6a7CtLlnotN1W+nQBgyJQSQhPbw221SVL7DFtx5/pAh8WCFQSwtNbg211yQI7TNvq0NkNikAlITy9NdhWl8y+tW+rOzNm3uXWKlBPhI8f4emtwba6ZNZqt6jPtDDobIUjUEkIT28NttUlM1a7sZOfJsmMDkWgkhCe3hpsq0vm3FPaVEe2qZ+BGTxw4IAIdALC01uDbXXJbLtJG/dnRjKLRBGoJISntwbb6pJZqkWfNcEtikAlITy9NdDXJfvb91dXV7/fejzve47NEX12CClRBCoJ4emtgbIuuXlh7OM8eu3aPHS16LOXQBZFoJIQnt4aqOqSTz8kTe45/eh22GrnvPYcCc2V5RkicE4IdALC01sDTV1yd/zFw4fnOcdf3d49d4rgWG3f7A0rGDPlU+rJ1RzViyTpvFBGdb9r+cLsgWP1ze6zRZhvjY2JGDpgSIRvjsLTWwNFXfLlyUGYL40J7w5Cdfu+XIit1xQBAh0h0Ha/Fe1nWWNjIoYOGBLhm6Pw9NZAUZdcd3SZKfWxSwh3gfZqpIqHQMcJNDX6pIoVeo2NiRg6YEiEb47C01sDPV2yv0iS9gH7XZLcd7kaP6LaEQZJEWg6QaDtTp66xhwRPeCFb47C01sDPV1ie77N8DNv7Nv/6XlObt4INJ0m0KGu7+nqYIge8MI3R+HprYGeLgki0P/Pib75q+nZH8ZM+SLy5eT/T8p/ihdJ0nmhjLKcRplGxzS6o9WHre4aR+hxJHrA69kcIUfPGjscwu/ady3NcAgPomAPFESjaI1ddmyZnRZ94BJCUbVwBIGCaBStsY9nB4O+MSZ8Ovizs1M6iKJq4QgCBdFoWmPX2Wm33fnPVxm/5XfSO93FpKpayECgIBpVa+ztWeuKxu6ZWwBV1UKKQEE4utbY/pWp0N1T1ycy6aoWECgIR90a299cvTo/P3969drjeXbqqt08CBREs601tq1qYwCBgmi2tca2VW0MIFAQzbbW2LaqjQEECqLZ1hrbVrUxgEBBNNtaY9uqNgYQKIhmW2tsW9XGAAIF0WxrjW2r2hhAoCCaba2xbVUbAwgURLOtNbatamMAgYJotrXGtlVtDCBQEM221ti2qo0BBAqi2dYa21a1MYBAQTTbWmPbqjYGECiIZltrbFvVxsDmBAraWHvMLMnafQ3uBB8DoQOGZO3OBnfWHjNLsnZfgzvBx0DogJpYcnNfcFlxLkoowXogVKBY4wgdayKTWgoEqmhRQhHnh1jjCB1rIpNaCgSqaFFCEeeHWOMIHWsik1oKBKpoUUIR54dY4wgdayKTWgoEqmhRQhHnh1jjCB1rIpNaCgSqaFFCEeeHWOMIHWsik1oKBKpoUUIR54dY4wgdayKTWgoEqmhRQhHnh1jjCB1rIpNaCgSqaFFCEeeHWOMIHWsik1oKBKpoUUIR54dY4wgdayKTWgoEqmhRQhHnh1jjCB1rIpNaCgSqaFFCEeeHWOMIHWsik1oKBKpoUUIR54dY4wgdayKTWgoEqmhRQhHnh1jjCB1rIpNaCgSqaFFCEeeHWOMIHWsik1oKBKpoUUIR54dY4wgdayKTWgoEqmhRQhHnh1jjCB1rIpNaCgSqaFFCEeeHWOMIHWsik1oKBKpoUUIR54dY4wgdayKTAgDQAAIFAPAEgQIAeIJAAQA8QaAAAJ4gUAAATxAoAIAnCBQAwBMECgDgCQIFAPAEgQIAeIJAAQA8QaAAAJ4gUAAATxAoAIAnCBQAwBMECgDgCQIFAPAEgQIAeIJAAQA8QaAAAJ4gUAAATxAoAIAnCBQAwBMECgDgCQIFAPAEgQIAeBKxQD+eJc+dGnx6cZYku0dvpsaZjRt7gicQX5Yaenqy5MuTr/4o/95fJBXzdfNAQu23Zk5ITiYLE69AvzxxXD9vz/KVuvv7tDhzsf+1HHaPXZpJL0sPPT1ZchBDLdCse2e3xEBCnbfmTUhOJksTr0AvHdfPXc9qdY0zG5d1gg4GFV+WGvp6smB/6NFaoMbMs3XzQELdt2ZNSE4mixOtQO8c10/2uXjvcJhx84O5HbjHmY3DIXeSHQd9ujh8mv8ytpX4stTQ15MFxwPTevr1/L07kJDlrTkTkpPJ8sQq0Pw4YXBFHYb8/Q/Vq8NqzV9lW0K9hzcizkIcEnyQ/3U5uAuqrCw19PRkwbvjgWptj0ubZBdLyPLWnAnJyWR5IhVodj7qv7sI9PCi3K077OpV08fEWYjLKsG7SqU2lJWlhZ6ezPl02L9KHv1Qm6H5KbZ0Qpa35kxITiYrEKlAs8ME81Bh//bhYYh/+7K1cus1edglK18YK70TZ0VsAo2gLC309GTOoS93z8yLSIe5Bz7j5k7I8tacCcnJZAXiFOjh0+6xea7lY3El8Hg6pqRhGnOv7rJq2I6zJo1D+DyhGMrSgr0nC653339oXIU/zP3804/HD7cVErK8NWdCcjJZgSgFmjvk2hRGiXH6pW2a6uRN1bAdZ1Wy05bHi0gvytNKUZSlBWtPlnwujk2r1XCd7P5WrJpHMx2vDiRkeWvOhORksgJRCjQ/2q3W5fFK4MvsgPfMPHvYMI254u/q092NOCtzPNGW73Aet9NIylKCtScbmAI1bjmb64zfQEKWt+ZMSE4mKxCjQIs1Va28u2pNHZyTucO8Ey1JOjopB0E7ztpkNzAZH9yxlKUDJ4Fml5x3Tz/khwtu33sIkVD3rVkTkpPJCkQo0PLEdbXy6ssvxUocZ5pOnJW5rhN+lr2OpCwlOAm0+EQr2s1z146TtmZNSE4mKxChQMv7zMqVZ1wJzE4bPhhrmnaclcn8+f1fafo5+0bn82jK0oLbIXxj6jz97HbgPGdCcjJZgfgEWq0zQ6Am5s2QQycLO3HWxfju+tvjJ3ccZYmm6uLDZ5GvQLOGwQ5URyY0nGvIhE4tbuFMViA6geY7YxnlyjMuVvebpnO5sBtnXTo3hMRRlmhMXw1ehT/SI1C7bWdNaDjXkAmdWtzCmaxAdAK9Tpo8tnxxJGf4hslunHUxh991PGWJpuWr/vtAjywvUIe7L2dK6NTiFs5kBTYg0MOos56rHv7KjjTTdA6G4ihLDYPfRCon9xzCz7Kn7/b9nzkTkpPJCmxAoH3nqoe/NC7NNJ3P8jjKUsPgd+HLOUqBGif3jKvOiyXUfWvWhORksgLRCbTGvFzy1ZtqWqWMUY8tSqV8TmanPOsHKhZX2PWXpYfhpzGlDYEeVlbxZ/aU0Jm++u3yDKR5E5KTyfJsQaDZmaPdsw/5HUB9n3nH7/W8tj3TUIhpsm9wVLcxZQMvjrLU0N+TBe0b6bNVk808117WQEKdt+ZNSE4my7MFgTZukOw9Zu19qrYQ05i3LeXf5YyiLD10erJ1CGqeAzVvkZjtLMlAQp235k1ITiaLswmBpndnI1bZnz2/6yLFNMdnnh8pD9GjKEsP7Z4cEGj6sXxwQc8PKM2dUGetz5uQnEyWZhsCTfevsgdnfv30r6EGPb8sKMc0Nz8eE3xdTYijLDW0enJIoOn+3Y+nV82MCXXW+rwJyclkYSIWKADAvCBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASB+vHlSXL/Q/7np5c+AfJW+4vkqz/CZQXzcZ00VtVdkjx2DfHlSR3hsOYrnhfTPr04S5Ldozd1i+6UgfRKHj79yzWztDGiLXQGaj17NZJ3v3gsNh0s8lSPGFVnGGvE7Ou+KenHs6rvfUGgflTjZ/+r+4ZUt0Kgasi21Qf1Sw+BNlb2YQC1Bfr2LH+5+3s5U3fKYHoVu2eOqaXeAjVGsqdAB4o82SO9Au1uWJZNLVsHCHQdquHmsydSt0Kgarg29xV91vv+0tyHvTO2++ftKc8785zczlsqcfeCp0CNkewn0IEiT/dIn0CbfW2fkqaXXh3VBIH6EUigoIbjttoQoNsaPB6z1+2v29tutjt073BkevNDOVt3ynB6Rbz9u8P8Ay7sYVigvbNPFehAkW49cm0cILT62jqlsDECXQcEujXynZ1qG3Vdg+/OmgK+bG/O16X1sm39sX3KcHqVCw6D011mKwl0oEinHrkzPjTafW2bUp5EQaDrgEC3xmHj/e6s3uDc1uCnwy5T8uiHehM+GKCpK0NAH8+O73WnnEivdsGlhxjWEehAkU49YnxmdPraMiUP/9V/R6BrUYyf8pzMcTXs3z48/Pnty2LFXh7mePfNYUJ2xfDzq+y93bfHK5Z1q/rU0v7dj0bj4/T9q2/MS5B5+K+9LrHCZA6GemxciW8L1Dynma3pX9qNd8/M84iH8fOgMYfhr8IT3Skn0jMFWs7eGHfWYZV+enF4+f2HfHFVy9pIx1Tr3BuzN0byYf6331iupw91zUCRTj1yWa+OTl9bphQd1jmP4g4C9cMi0I/FBcLjWZr0KNC35YCpT3Y3W1Vr9fghWTfOpv+/Z0ZwIzz7rquQCTQ7ciy85yjQg3IaF2IOsz//lH9kVhMqo+Y7kN0pJ9IzD+EL0TTHnW1YlbPc/69jo+uyrLvE+MsYqM3ZmwL9z8ui+GauQ10zUKRLj5gH8J2+tkw5bk6Puyei3UGgfnQFWguuWFGXydfHSQ+aFwsf2wRq3NRyfG3eJZiPOMttL7AkR7V8rA7i3QT6udTXH1W03d+KWR91TgVdl7poTTmRnnERqVh8a9xZhlU9y/92HNGHAh9UTfO/jmdry9xbszcF+k1zAxjTNQNFOvRIY3+009eWKcUpFAS6Gp1zoMcLhC+zA+2zYuRlH8f335TvfZ8ded+U10fbtzEd5t09PXxKvioaH0f67tmH7Da7fNbDur73+vDvpwufS6wwmXzfrDqIn3gf6KVhlOPqNLflu3JRrSkn0qspjoE64647rMrr2sf7K+/X+2nHOY+J5SO9mN6evTGSi9D/TBy6ZqBIhx65TlonRE7eB3pZHhgi0HXoCLQ+iCjPHl1WU+pDj8MH/HEttgR6mFx8ghZ/ZcOxWN3F4KgOWbh1dB1ygVaXf6cJNAuTfWIezyiWH5DhBFrcSN8Zd91hVV3Xzvats7+uqwOe8/yv47FumXtn9oZAv3pjhh5FEIFa7jo4IdC7bqd7gkD96Ai0Pm9fTrq0DPpDM5tAjSF32dxOq+uN1+XuLKxDcXaw/KybJlBjky/2aYMKtGOwYtx1hpVx7Fu4MfflYYHZydLnaWnUPPfu7A2BNkfsKIII9K5r7GGBllsvAl2NtkDNm0CK80idE/+f3//jLLEK1Jg1b9y9YeN4Imn33b9z9L4S5eWV6+pC4KSvcppTs5UfQKDlOdCbcq+2oB53nWFVfqBXE8qBfH28TPSgut8qz707u+02pqUFartHYVig5U24CHQ1LAI1yd4z9kmzm5TKa0wWgZojoLNnUA7H8qzZjvuYVuG6uavldhEpLVraTr5c98jBV6Cpcaa2Ne5sAi1dV/5ZXjN6fLwPr9wjrQTann2EQIe6JoRAbcIeFGgVB4GuRlugxjV4i0DNd+0CbR1dWIbj8QJTDvcxrUB1g09+EB9OoHcdIU+7Cp/WT8loj7vOsDLcYxjxefbieX7wfpe3yHO3zz5FoCGuwl9btoghgVZ3GiDQ9bAItP0pWAs03z39+tuffv4v6znQUXugB969wKCrUW+mx4P4GQQa7D7Q8rRAZ9yN2QM9/Ps4OwX6R/6wt8v6DtI59kAD3Adq/ZbBkEBbp4unbU0I1A/LIXz3WS/GCff6xpIT50DzQdI7HD//9iLhPqY1qAV6PIgPdg60UF/QbyLV51Wb427EOdD8pOdl8eaD8htTc50DDfBNJOviEKhw2gIthqxJJVBjZd/ZLyLZrsI3x0fzCi73MS3PdeOk2+7fJgnUCFZckO8awU1J7UP4Q9PuuLMNK+MbSfkyDkfu/3lR3EeSfZfueZ27ZfaJAh1oNrZHbEfwCFQ6nduYrqvb4Mo1ahHopyd2gdruA20NlfqmKAS6CtfNE3AeG56xUZf3A6fH51Q+KGKOf/aQNb32RaTuuOsOq2oZ2eF+dYvnv1R3MP2tvBrVug+0mn2iQIeKHNkjl7a98xP3gdZL4BzoOpgCLU8dHb+IkX7+NSlvpC9X7GV+KJVfBirvIjROLTW/iWT/rM1OJFXfKhl9nzIEwxRofnJx6o302WjJ1ma+po9f8nndefrla+fngdY353fGXXdYlct4V3216JhbvrzjNagHZu7d2Y2R7CXQgSLH9UjvzWEIVDKVQPMLnc+bp8pbt9Y3zqKXX+9ITnwXvu82pmTE1gThaRwp3k0UaOP6+GMjZs70J9KXxznNcWcZVtU8/606wXiZGDsFre+/dWY3RrKXQLtF1l8yGNUj9sfwIVDh1L+JdFFuA3et24yMQ4tfy0H89CJfZWWraq12n8bUuY3pogx/z/PHu2AKzVNtlxMFmn4sV3j9ez9/dn4BqDtlKD2De/ly2uPOZrniV4aKxytl1A9iuqw+rKvc27MbI9lPoJ0ijW9pjekR+9IQqHDqz719dsD0/fGvV40HdprnZo4P+/z66YfqToyiVb1Wy+eB5vNbh+NN9oOE9fNGYVGaAs12zqZdhd8XY8L4WkSgX+X8+tHrcmpr3FmHVbaM6gGfZW3VjeYP2rm3Z69HsqdA20Wa32wf0SP1XZ0mCBQAQDoIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCcIFADAEwQKAOAJAgUA8ASBAgB4gkABADxBoAAAniBQAABPECgAgCf/Pxoz+8uP391hAAAAAElFTkSuQmCC" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.022191134
## Lag 250  -0.007460395
## Lag 500   0.023414225
## Lag 2500  0.038762197</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.026911692
## Lag 250  -0.007032063
## Lag 500  -0.012558651
## Lag 2500 -0.010654858</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.038269565
## Lag 250  -0.006730544
## Lag 500  -0.005471200
## Lag 2500  0.003435583</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.013358146
## Lag 250   0.031597882
## Lag 500  -0.001448017
## Lag 2500  0.040322402</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0     1.0000000000
## Lag 50   -0.0089595494
## Lag 250   0.0239826667
## Lag 500   0.0001250269
## Lag 2500  0.0181167252</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                 [,1]
## Lag 0    1.000000000
## Lag 50   0.007886524
## Lag 250  0.039503637
## Lag 500  0.030939061
## Lag 2500 0.023955430
## 
## [1] &quot;RML_male&quot;</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50   -0.016881587
## Lag 250  -0.009313909
## Lag 500  -0.025759717
## Lag 2500 -0.004148092</code></pre>
<p><img role="img" 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KGRVo+kla0RuqbxoLnCEujgdznvmL0tDIEGR1o9kla2RiDQ9dxUL1u8d1Hzbfnh7KlRBAQaGmn1SFrZGqFtmuPbKySBVi+ofSFMeOf8jd/HdwjIpNUjaWVrBAJdzfVAl85/c+b4DgGZtHokrWyNQKBr0f0ovOtfPTy+Q0AmrR5JK1sT9C1zfHsFJFDdc+88Cx87afVIWtmaMNIyhzcYAjWaD3uTVo+kla0JCHQ1xSH84DcOOYSPnbR6JK1sDRhrmMMbLCCB5pcDW5anRe+ahECgKr5n7Hv93JJWtgYgUAd8Oi8MKv7Q4e0z0x/eRqAqvmfse/3ckla2BiBQF1xXt85f/HxV8mt9J73RXUwIdMCWGbuInVaPpJXtckbb5fAGC0qg+dtz5VHOs5/MAiBQFQTqE2lluxwE6ojTK1GhZ09MLiCVIFAVBOoTaWW7mPFmObzBAhNowen91auLi4snV69N7Zkj0CEI1CfSynYxCNQXEKgKAvWJtLJdzESzHN1iCNRofnwgUJ9IK9vFIFDnfHl8777Re5hqEKgKAvWJtLJdDAJ1jukznA0IVAWB+kRa2S4GgToHgToCgfpEWtkuZapVjm4xBGo0Pz4QqE+kle1SJlvl4CZDoEbz42NHgVoVlVaPpJXtUhCoexCoIxCoT6SV7UKmGwWBWoFAHWGZ8XA1TSAEakpa2S4EgW4AAnWEC4FWH7JZpyLQWdLKdiEIdAOiFuietUCgPpFWtguZaZRj2yxUgVqCQB2VhUA3Ia1sl+H3NotAjebvAwJduVKwpJXtMvzeZhGo0fwNi96qFtscALkR6ILC01JKWtkuA4F6hElnOG4aBIpAZ0kr20XMNgkC3ZHDBbooKAI1WiQi0sp2EQjUJzwQ6IKoOwm08d76qAjUFWlluwgE6hMIVJ2DQH0irWwXgUB9IlSBrqgLAg2ItLJdBAL1CQSqztlWoFmuLrawbiaLRERa2S4CgfoEAlXnbCzQwWIL62aySESkle0S5lsEge6IY4GatB4CRaCzpJXtEhCoVyBQdQ4C9Ym0sl2C70MEgY7OD1igy9JAoN6RVrYLsNtcdgSBjs5HoAtL0Aq0/IRATUkr2wUgUL9IXKCy0TYWaIZAjUkr2wUgUL9AoAjUZ9LKdgEI1C+SEqj433Y6AvWatLKdZ1F7IND9QKAI1GfSynYeBOoZCFSoAAL1jrSynWdZexzZagh0dH60As3EpRCoT6SV7TwI1DOcCjRbZEM5HAIdjbKgoOhJK9t5EKhnIFDPBLqgka3qFyhpZTsPAvUMBOqdQA16JH7SynaWhc2BQHcDgbaVrvxmHllboaFA62IQqClpZTsLAvWNwwTaewuBqovp542uFDNpZTvL0uY4sNkQ6Oj8AwQ6ahMEmgZpZTvH4tZAoHsRpUDHFkegwZFWtnMgUO+IVKDqXFmgmbgkAvWZtLKdA4F6xxYCXdSECBSBLiCtbOdAoN7hp0C7aYsFqogpeIF2C46kkgppZTuDyfHdlvXYuWivh4AjgXZb/RqBin/J+khaoFOZRk9a2c6AQP3jUIGWC4Yh0PmUEOgmpJXtDAaNcVy7IdDR+ROnKw0F2rgkRoH2MRCoA9LKdhqTtkCgO+FMoI0yBH1MR7UUqDJDn8eOAu1mINBNSCvbaRCoh2wo0InIbgVahxnUZpiGKtAsWyjQ8WTMBSrVRFMQAhVJK9tpEKiHxCHQzLFAh9JCoMeQVrbTIFAPOUqgnbkE+20r0G6hRQLNlNUR6DGkle00CNRDDhZo5xW5rEUCFT04EOjQOgg0RNLKdhoEugGnV4/vfffvH7vPX37IvvrdYH3nAs10+tAs7kKggmMQaJykle0kRk2BQJfxx3m1yZ09aRXqUKC9CroJCFSOOS5QsX5dUXqBdk3WLSa3AAKFEgTqnutOAd80BnUq0Eyef5BAJT0GKtA+UQRqRFrZToJAnfOp2P+88+LDh5flv7U24xeooLuQBdo37phA251vBAq5aUsg0CVct3uet49agyJQYSEpzfAEqtRWKSgN0sp2CgTqnNOzLHva/1m5NAaBdvJwL1DZjr4INBumjkBr0sp2CgTqHFGWpUHv5ghUWkhKcxOBirGEfxGoK9LKdgLDhkCgC5BkWXzIHm4m0DknbiFQ4f+BCVTKSigJgRqTVrYTIFD3yLL8dJ6d/bKdQDVaEQJsI9DMY4EOY/X/IlBnpJXtBKYNcVjDBSRQ4RxoyU2WffXGjUB7BS4QaCb+116gvfWWC3RoIGkhKSE7gQ4sJlZya4Fq2zEtpaSV7TjG7YBAF3Bdn/cUPn71PzYQqKA43aJagQ4dpqy0uUCVKdsLVDQfAnVEWtmOg0C3oLwP9MFf/efLaqvbQKCSadRFjQWaKSBQBDpGWtmOg0A34Vrx5UvPBao4ZpVARfVFIlA5JwSap5btOAh0G96ey74sPiNQ/wUqNJTgSgQ6JK1sx0GgG3F69+NH6fPL80gE2lkQgWraMBXSynYcBOopoQtU3FXNpYW8F6h84C6sK01EoJAjUG8JQqBCsKFAMwQaMWllO4pFMxzVcgi0nTotUEEk4n8RqCJQyYdTAm1nI1CRtLIdBYH6ygqBZsK/oQlUlV23iCBQ2X9qg80KtFtAMiYCNSOtbEdBoHuxxZNIywTa+0HSoeqxXHFM0AKdrthAoKIVEegi0sp2DJtWQKBWrBZorw3nAtU6BoEOBdr9KRc90mNRk1a2YyDQ3XAg0N4kdgKVdbiJQAery5qR7NTWYoVAxfAzAlUysxKolJOcma7HQuH059VvH+cXkwk2W6cg0P34/OGv+YV6DAUq2VD4V9jqPRfoUF1drRDopph+t1cEm61LrBoBge7CqEA7AYwLVNjAha3eTqCijKSJqwUq2FFcRaqI/L2xtUC1tUCgWoLN1iUI1F/WCbR1DQK1FWhf/QgF+vmDyPtCoK+Lf9cdIaWIXSMc1HRRC1RVVzbYPG0E2i7iq0AVVUkzpTQQqFPKH0nQ4OqF3+mAQLfl9OHPq6ur3z7Mn6HXjWfNIo4E2u77SaE1tdheoGJO8kwxxAEClaYi0CHhZLshCHRD3j8XxuaD16arxy1QuVq+CVTNYjgjD1qg1bvBzi5a/naenX1X/PujyaX4gLLdDgS6GeUPwkvc+cUsgLFAJcvtLNBuqeHqve2EHBDowdw+K0bkm+bDgotI2oZJHss2QKDz3JyXQ+xe8xX/bfnh7KlRhHmBDo40s2452ROZ+N9u7K8VqLiDubdAe4siUEv+KHY7/6X+E4FagkC3ojzJdPZCmPDO9H3KAQhUjiUUJ62OQD2lPEb6ptoJ5TYmSxDoVlwPdNn8Ovxy/BKoOn9TgQ5CbCVQTRMOiVWg+ekfxbf8TzkCtcW2CRDoHMrPGlfcFN/3q07SSxvz/gKVJeREoBpB2Qs0U8pYJtAFRCvQPP9U7IQ++IhALbFugmPaLiCB6kaks2fhewGEJNC+AATqD6eX5akmBGoHAnUdsMUbgaoaErb/GAXaT5NnINBRyhuavjtHoBbYtwACnaE4hD9T71o65BBe1ZCw/R8pUKnmpgLNpgSajQh0kBkCbShvaDK9wFkSZrYuQaDbpXE5sGV5WvSuSQgEKtU8Hwp04EkEasUfxneIlISarTsQ6HZpfDpvbxFpKL/nBzulk3gnUDnAwCVdrQYL5UOBKkuNC1SYikC34vbvZg8hVQSbrTMQ6IZpXJdb2dnFz1clv9Z30hvdxYRAlUUQqF+kla2GFQ2AQOd5e65sctUddwZsKtAsj1Gg2eiMNQLVrY5AE8tWAwLd9mUip1eiQs+emB4jbSvQ1gJCaM2qCFRKRFofgR5dg4NBoJu/zu70/urVxcXFk6vXxmeYEKi6iFBKV1Lez0SgO5NWthoQqE8vVB4yJlBBAL4LVFqgE6VmmbUCFQMg0H1IK1sNCDQ+gXaymhVAu7AQWrOqa4GOVWYbgQpfKAjUOWllqwGB7iTQL4/v3Te+yy44gU4UlO8pUKnOw3br66Sr6RjaGmUZAk2YNfkjUBOsnjT2Q6DKyvsIVF+FXBao8p8JgerDItC1pJXtEASKQIXAfgu0C7JAoGKYLicE6py0sh2CQBGoEBiBToFAh6SV7RAEikDzXFgh16/qoUD7BRHocaSV7YBV6SNQE7YTqH6TXiSAPkjwAtWthkA3J61sB6xL/5DGQ6CbCnRUKqsFmiHQCEkr2wEINEegSiQEOlr4yJSZHouatLIdgEDzyATaKWORAMQ1ZmL6JFBllTmBdjkhUOekla3KyuwR6PYgUCUGAvWKtLJVQaBVRNcBXYJAlRgmAlWKRqDuSStbFQRaRXQd0CUIdKye/YII9DjSylZhbfIIdHsQ6OhC3ScEehxpZauAQOuIrgO6RCvQWQGoy40JQBcJgS4rup8y02NRk1a2Cgi0jug6oEv2F+isPTYTqDbu9CwEejBpZauwOvkjWg+BLhCAutyYAOYjaVYe0+MRApUnIdDdSStbBQRaR3Qd0CW2Al0mgPlImpWn9Di/BAKNirSyVUCgdUTXAV3ioUAtA/goUDMQ6JC0slVAoHVE1wFdgkDnZ817EYFuRVrZKiDQOqLrgC5xKdBJOSDQ+SgjU2Z6LGrSylZmfe4IdHOmBTojjFVycB7BjUCtlkagW5FWtjIItInoOqBLLAXqQA7OIxwoUKuwC1ZHoGllK4NAm4iuA7okWoGui2W3NAJ1TlrZyjjI/YDmQ6CbmAKB2qyOQNPKVsJF6gh0axCow6URqHPSylYCgbYRXQd0STgCnS8CgcZHWtlKINA2ouuALkGgDpd2LtBm+nSPRU1a2Uog0Dai64AuQaAOl0agzkkrWxEnmSPQrUGgDpfeKMmZHouatLIVQaBdRNcBXRKRQA1AoKGQVrYiCLSL6DqgSxCow6URqHPSylYEgXYRXQd0iWuBjp7HsxCHLyDQ40grWxE3me/ffgh0lSkQ6AblT/dY1KSVrQgC7SK6DugSBDoPAj2OtLIVQaBdRNcBXYJA50Ggx5FWtiIItIvoOqBLEOg8CPQ40spWwFHiCHRjEOg8CPQ40spWAIH2EV0HdImdQCc2dsPpIYBAjyOtbAUQaB/RdUCXINB5EOhxpJWtAALtI7oO6BIEOg8CPY60shVAoH1E1wFdgkDnQaDHkVa2Pa7yRqAbg0DnQaDHkVa2PQhUiOg6oEsQ6DwI9DjSyrYHgQoRXQd0CQKdB4EeR1rZ9iBQIaLrgC5BoPMg0ONIK9sOZ2kj0I1BoPMg0ONIK9sOBCpGdB1whPdXv/1lvBICnQeBHkda2XYgUDGi64AyHz6W/z29Oi+3tTsvDNdGoPMg0ONIK9sOBCpGdB1Q4PZ5sYHd+SXPL9ut7XuzAAh0HgR6HGll24FAxYiuA/Z8qnY7s7Nfbor/3r+4KD8+NIqAQOdBoMeRVrYt7rJGoFN8+aHYvO59W+yDPiokWkw4vczqPxaDQOdBoMeRVrYtDrPevQFDEuh1ln31ptkPfVpNOT0z3AVFoPMg0ONIK9sWBCpFdB2wpbRl5c1CpN98rKfd9H8uAoHOg0CPI61sWxCoFNF1wJbiCP6r38s/il3Qu+q0hSDQeRDocaSVbQsClSK6DtjSybL4A4Fux9F1n+mxqEkr2xYEKkV0HbClkGV9xej03+79U3PcXuyMItDFLKvV0XWf6bGoSSvbFgQqRXQdsONyeMXoOut2RheBQF0ttR0zPRY1aWXbgkCliK4DdtwMblq6/YGr8AYgUN9JK9sWBCpFdB2wo7wMn/1Tf9G9ep7T6CI8As3m63Z03Wd6LGrSyrYFgUoRXQfs+fIoE095ljfWm91Hj0AzBOozaWXb4DTpvVswKIGW+5yyQO+8MQsw3DxXbuyG048FgfpOWtk2IFA5ouuAo5z+01CfIQh0fZ0mYgv/9ZfpHoubtLJtQKByRNcBXbKNQF0qCYFO91jcpJVtAwKVI7oO6BIEikB9Jq1sa9zmjEA3BYEiUJ9JK9saBKpEdB3QJQgUgfpMWtnWIFAlouuAU6x9Fn71xi781w0IdLrH4iatbGsQqBLRdcApEKhRbOG/bmJtwXSPxU1a2dYgUCWi64BTIFCj2MJ/3cTagukei5u0sq1wnfLOTRi4QPPPH4x+2xiBIlCfSSvbCgSqRnQd0CUIFIH6TFrZViBQNaLrgC5xJdBc+heBumS6x+ImrWwrEKga0XVAe5ZsnpYbufQvAnWJ2kP7jZfjSSvbCgSqRnQdUOX04c+rq6vfPsy/x27J5mm5kUv/IlDT2ZOrKj3kcOh4T1rZljjPGIFO8v65sKk9eG26OgJFoD6TVrYlCHQQ0XVAgdtHysZ2x+x1oAg0Q6A+k1a2JQh0ENF1wJ6b83IDu3dR82354eypUQQEikB9Jq1sS2ZtMLsAACAASURBVBDoIKLrgB3VG+hfCBPenWdm99Ej0AyB+kxa2ZYg0EFE1wE7rge6/LL2R+WsN3LpXwRqOnty1ckei5u0si1BoIOIrgO2lL8ppx6w3xj+qhwCRaA+k1a2JQh0ENF1wBbdc+9HPQuPQBHoFqSVbQkCHUR0HbAFga6OLfzXTSzb2ZOrTvZY3KSVbQkCHUR0HbClOIQf/Igxh/BGsYX/uollO3ty1ckei5u0si1BoIOIrgN2XA5sWZ4WvWsSwmOBNkH2Fej6FrCbPbnqZI/FTVrZ5pv4B4GO8em8MKj4S8a3hT8HO6WThCDQ7QyKQH0nrWxzBKqL6Dpgz3W5fZ1d/HxV8mt9J73RXUwINEOgPpNWtjkC1UV0HVDg7bmysZ39ZBZgI4G6cB4CbVed7LG4SSvbfJOE923DsASan16JCj17YnIBqQSBIlCfSSvbHIHqIroOqHB6f/Xq4uLiydVrU3vmCFQoqCltXSzb2ZOrTvZY3KSVbY5AdRFdB3QJAkWgO/H+6jejn+uqCDZbS7bIF4FuCAJFoNtSv+e7OdV058Xc4gqhZbsWBKqJ6Dqgli+P7903eg9TTcgCXVrI+HLrBCovi0A13Jav+y7fUXvZJvO9WYCgsnUAAtVEdB1Qi+kznA0IFIFux6f6CufZLzfFf+9fXJQf191mFzsIVBPRdUAtCHQu0OgcBLoR5csVs3vfFvugj+rnO04v1z7oETsIVBPRdUAtCHQu0OgcBLoR5ftq3zT7oU+rKeWjxqveVxs5m6SLQJeAQOcCtZ9ydY4s0OVVR6DTdO+rve7f2bD2ZTeRg0B1EV0H1IJA5wJpwiHQLemGZLELeledpmU++8jZJt1dGxGB2m3k0r9GB8IzM8Yr5aNA57KxYbrH/KUbksUfCHQRCFQX0XVALQh0WQk5At2LYkjWV4xO/+3ePzXH7cXO6KoXfkcOAtVFdB1QS4gCzcU1x0KOV+owgXY1G05EoAKXwytG1yvfVxs5CFQX0XVAlyBQBLoZN4Oblm7X/mps5CBQXUTXAV2CQBHoZpSX4bN/6i+6V89zGl2EDylbFyBQXUTXAV0Sj0DH4xwlUM1sK6Z7zGe+PMrEE0vljfVm99EHla0DEKguouuALkGgNgLVZYlANRT7nLJA77yZWFpDUNmuB4HqIroO6BIEikB34/SfhvoMOlsLNsoWgW4HAkWgPkO2Psfdpyyvh8CuAlUnhyBQXVgEuhtk63Pcfcryegj4K9AcgfZ1muixuCFbn+PuU5bXQ8BbgeaxCDTPBjMMme6xuCFbn+PuU5bXQ2CtQHPtvwh0MAWBWpFUtpsli0A3A4FuJtAcga4nqWwRqD6i64Au8UygubAsAu3rNNFjcZNUtghUH9F1QJc4EWhuLFDBLQh0rsDpHoubpLJFoPqIrgO6BIEiUJ9JKlsEqo/oOqBLECgC9Zmkst0u2R2bEYEagUBHYy0QqDa4pripHoublLLdMFcEuhWpCVTOcQeBdmloq7Zo2nSPxU1K2SLQkYiuA7oEgSJQn0kpWwQ6EtF1QJcgUATqMylli0BHIroO6BIEikB9JqVsEehIRNcBXRKwQJXpCDRGEsp2y1QR6Fb4I1DFprleoANB6eaMlZoh0NBIKFsEOhbRdUCX+CjQRjwBCHRYM2GSlUB1XTDdY3GTULYIdCyi64AuQaAI1GcSyhaBjkV0HdAlMwKdFepagfZFpiDQ+eYddgECTQQEOhbRdUCXLBHolEWrNRBopskcgTogoWwR6FhE1wFdgkARqM8klC0CHYvoOqBLghDoQHm6QgZF5rrldNHU+VIkvUDlKoqxEKhTEsoWgY5FdB3QJdsKVHXcpEDzPDtcoMNGcC3QmeDDLkCgiYBAxyK6DuiSYbrytjvmEMkSCDRTM+/+RKCrSChbBDoW0XVAl6wUaB63QFXhiVVFoHuQTrabZopAtwKBHiTQtuH0oZUEpnssZtLJFoGORnQd0CUIFIH6TDrZbpvpfu2IQKXtWRGMfnsfE+ggWnQCzQcpIVCnpJMtAh2N6DqgS5wLtJ6AQO0FqkREoGmAQEcjug7oEgSKQH0mmWw3ThSBboSXAs3FGXKdYhFovlig8z0WM8lki0DHI7oOOMLpz6vfPpquFIxA81xYUYmmzpEn+CjQPEegi0gmWwQ6HtF1wBG+/JB99bvpSh4IVNwnQ6CaiHM9FjPJZItAxyO6DjjClgIdc2gTYa1A8y6UEDQXlxAEqhUjAo2TZLJFoOMRXQfs+PxB5H0h0NfFv3+ZhJgTaL+DqXVoH0Vyi16gua8CFeolNwECPZpUst06TwSqodjl1GG0G2otUGnrlgSaHyRQ1UZ7C1SsZl8uAl1FKtlunuduDYlA5e252+yPEGie967ZSqBS0koTINCjSSVbBDoR0XXAjrfnWXZ20fK38+zsu+LfH00uxY8JtFNgt9nvL9C+fkKFEGgiSqlJJVsEOhHRdcCe22dZdudN88HpRSQEqpSmSURaWK5mX66FQLuQQpWmeixmUskWgU5EdB1Q5I9it/Nf6j/3Eah260agVgIdVBmBqiSS7fZpItARbh9l2TfVTqhjgfabvyDQXL91ByvQtiDJXzsJVK6KWAEpgfkei5lEskWgUxFdB5Q5/SPLzn7KEWjQAhXDINCeRLJFoFMRXQdU+VTshD74iEBVzelm5FKdEKjvJJItAp2K6DrggNPLYif0BQJVNKebkUt1OkqgSmNLlR1p4okei5lEskWgUxFdB9RQ3tD03TkClSboZuRSnSYFmmdbCVRtbKmyI0080WMxk0i2O6S5V0uGKdDqhibDe+grthBoFyWXpSasjECllScEuqDHYiaRbBHoVETXAfX8cY5A5Qm6GblUJy8E2v8nk2uDQJPJFoFORXQdcITbv5s9hFSBQHNxktQEewu0myUmsKDHYiaRbBHoVETXAV2SskCF/MVJCNQjEskWgU5FdB3QJQg0VydtLlClsRHoBGlku0eWCHQTnApUiJbJSysfEajQTKJA5ZB9IZM9FjNpZItAJyO6DjiF6c2gxwpUXFsIg0CFVeZ7LGbSyBaBTkZ0HXAKBNpP0M3IhToJ+YuTEKhHpJEtAp2M6DrgFAi0n6CbkQt1EvIXJyFQj0gj212y3KkpAxdo/tnNbyLlngi0i4ZAR3ssZpLIdp8kEegWrBGotJ+YZRkCRaCuSSJbBDod0XVAl9gLVFwZgSLQbUgiWwQ6HdF1QHs0MkCg6qTtBJojUFOSyBaBTkd0HVDl9OHPq6ur3z7MP8epkYEvAhXDINA+AU0fznZzRCSRLQKdjug6oMT758KW/eC16ep6gQp/yCbJUxJoXyM1spi8HBiBuiWFbIM1207FbFnv8heRJO78YhYAgebqpE0E2s2cEqjUeAi0JIVsgzXbTsVsWO+b83Ibu9f8MPy35Yezp0YREGiuTtpAoMJMBGpECtkGa7aditmu3l9+KH/KQ5jwzvidoAg0VydtKVA1ta6eCFRPCtkGa7aditmu3tcDXZZKfWgSIlmB5lIKkhpdCDRHoE5IIdtgzbZTMZvV+/Qsy9QD9pss+8bkrcqTAm0+JifQvhH2FKg8NcsQaJ5GtsGabadiNqu37rl3N8/CC7NqBQQoULUwyXNuBSp+2dgKVO0C7Qx9j8VMCtkGa7adiglboM1fvgpUdB8CjY8Usg3WbDsVs+Uh/Jl615LzQ/jmr2UClaMgUAS6lhSyDdZsOxWzXb0vB7YsT4veNQlxnECVteUwkwLN+yAINHJSyDZYs+1UzHb1/nReGPSNMKH8dfjBTukkOoEOZkkCzXuJINC+bt0kBOqSBLLdK0UEOuS63MTOLn6+Kvm1vpPe6C4mDwWqq5adQHPNjL5uCDQEEsgWgc5FdB1Q4O25sm2f/WQWIDaB5sPSEGjAJJDtbinuU1BYAs1Pr0SFnj0xuYBUskiguaRIBCpVcYFA++WGzYpAJ0kgWwQ6F9F1QIXT+6tXFxcXT65em9ozdyXQPFc39kwxkypQpSCXAs2V0o4W6KBF5MQQ6BQJZItA5yK6DugSBCpVU80GgR5M/NnulyEC3YCdBSqsjEDzrsoIdIz4s0WgsxFdB9Ty5fG9+0bvYarZSqCqmYIWqCrRYTsh0I2IP1sEOhvRdUAtps9wNjgUqDYMApVyGDYrAp0k/mwR6GxE1wG1INBNBTpIxFig2tSEPJSpCLQi+mx3TBCBTpGmQIUSFgm0r1MIAh3M0DV03ESfLQKdj+g6oJb9BJoj0EE7IdCNiD7bPRPcpSwEikARqDdEny0CnY/oOqAWBIpAIyT6bBHofETXAbUgUAQaIbFnu2t+CHSCVAQqBlkiULkSQv2dCbT/gECdE3u2CHRBRNcBXTKRLgLtaiTt+SLQHYk9WwS6IKLrgC7xVKCDqhwnUKFiCHR3Ys8WgS6I6DqgS8IQaK+vXAziUqBCeGlNsYYIdHdizxaBLojoOqBLDASaywJSlghboMLC0gcEejCxZ7tvfnuUhkC1s5IQqFieVEcEehSxZ4tAF0R0HdAlgQm0/YRAEyH2bBHogoiuA7okLIF2nxBoIsSeLQJdENF1QJfEINC81w0CjYzIs905PQTqnKUCrSdYC1RymboGAkWgY0SeLQJdEtF1QJdsL9B6vaMFKtQagQZE5Nki0CURXQd0ydYCbddDoAjUhsizRaBLIroO6BIEqmYn1c1WoF2NEeg64s527+wQqHMQqJqdVDcEupLTq8f3vvv3j91n03fehJWtKQh0UUTXAV2CQNXspLoh0HX8cV5lcvakVSgCFUGgiyK6DuiSoAQqBFQE2vsKgXrEddti2TeNQRGoCAJdFNF1QJcEJFCpIpJAc8FXCNQfPhX7n3defPjwsvy31iYCFdg9OQTqHASqZieVt7VAu6op2fYZzDSF11y3e563j1qDIlABBLosouuALkGganZSeQh0BadnWfa0/7NyKQIVQKDLIroO6BKTdAMQaI5A/UGUZWnQu/mcQDMNu1T1GBDosoiuA7rEB4HmgoC2FGgu1R+Bbo0ky+JD9hCBiuyfGwJ1DgJVs9OVi0BtkGX56Tw7+4VDeIEDctuhSAQ6say9QHvHbCPQrhwE6g3COdCSmyz76g0C7UGgCyO6DugSBKpmpysXgVpxXZ/3FD5+9T8QaAcCXRjRdUCXIFA1O1259gLVxpJTiVeg5X2gD/7qP19WaSHQBgS6MKLrgC5BoGp2unIRqB3Xii9fIlABBLowouuALkGgana6chGoJW/PZV8WnxFoCwJdGNF1QJdsJtDBel4JVCxSyU5XLgK15fTux4/S55fnCLQBgS6M6DqgSxComp2uXAR6FBFne0RqCNQ1CFTNTlcuAj2KiLM9JLXtC0WgE8siUAS6LxFni0CXRnQd0CUIVM1OVy4CPYqIs0WgSyO6DuiSVQJdGAiBKrHUtkGgo8Sb7TGZIVDHRCdQYTYCDZ94s0WgiyO6DugSBKqurSvXWqD6WHIqCHSCeLNFoIsjug7oEgSqrq0rd3OBqqUi0IZ4s0WgiyO6DuiSFAWaS/VR19aVu7FAh6Ui0IZosz0oMQQ6xunPq9/+ml9MBYGqa+vKRaBHEW22RyW2ebkhCfTzh1aZ7x5Vm9zZ9x8nVxiCQNW1deVuKVBttgi0IdpsEejyiK4DtnQvpz29bDft7OypWQwEqq6tK3c7gY5ki0Abos0WgS6P6DpgSyfQy9Kc311cPC43OzODJiJQOfjWAm3/RqCriTZbBLo8ouuALa1Ab4qNrT52v31m+LawNATahkCgwRFttgh0eUTXAVtagV72v5xQ/gzNQ5MYCFRdW1cuAj2KWLM9LC8E2tMIVPrtrmJv9BuTC0kIVF1bVy4CPYpYs0WgBhFdB2xpBKr+/PZmL6z1SKCCoI4SqGY5sT4I1AmxZotADSK6DtiCQH0UqFJHXaw5EGhHrNkel9fWJYcn0PwyO/ulnfbpHIEi0HiINNsD00KgHaVAS3PeCBeOEjkHikATIdJsEahJRNcBWwqBFnz9z6//tdsFLSelcBUegSZCpNkiUJOIrgO21AKtqY7bT3+Y/mps3AKVpIhAQyTObI/MCoEKnN6/enzeC7Q0an86dBEIVF1bVy4CPYo4s0WgRhFdB1SoLNoK9M4bs5URqLq2rlwEehRxZotAjSK6DjjK6T8N9YlAEajfRJntoUkhUKcgUHVtXbmHCVQ7c3b9iIgyWwRqFtF1QJcgUHVtXbkWAtXXWrOQBgTaEWW2CNQsouuALkGg6tq6chHoUUSZLQI1i+g6oEsQqLq2rlwEehRRZotAzSK6DjgFz8Ij0JiIMdtjc0KgkyBQBBoTMWaLQA0jug44BQJFoDERY7YI1DCi64CT9L/UuQgEqq6tKxeBHkWE2R6cEgJ1CgJV19aVi0CPIsJsj05p4/IR6MSyCBSB7kuE2R6dEgK1J9NgtHYfZThzZj0EikDNiS/bwzNCoCqnD39eXV399mH+RcoItI+GQEMgvmwPzwiBSrx/LsjwwWvT1eMUqFCauJIkUPVPBOoj0WV7fEIIVOD2kbI/ecfsdaAIFIF6TXTZHp8QAu25qd6mfO+i5tvyw9lTowi2AjUJhECVWHMg0I7osj0+IQTaUb2B/oUw4d1eP+lhFAiBKrHmQKAd0WV7fEIItON6oMu9flTOKNARApWnKFEQaDBEl60HCW1bhYAEenqWZeoB+04/a2wUCIEqseZAoB2xZetDPgi0Qffc+07PwhsFEu2CQBGoCbFl60M+CLQhFIGKCyBQBGpCZNl6kQ4CbSgO4Qc/YuzjIby4AAJFoCZElq0X6SDQlsuBLcvTondNQiDQkWWl2Qj0KCLL1ot0EGjLp/PCoOIvGd8W/hzslE6CQEeWlWYj0KOIK1s/skGgHdfldnZ28fNVya/1nfRGdzEhUATqNXFl60k2m1YjKIHmb88zmbOfzAIg0JFlpdkI9CiiytaXZBBoz+mVqNCzJyYXkEoQ6Miy0mwEehRRZetLMghU4vT+6tXFxcWTq9em9swRKAL1m6iy9SUZBOoOM4G2/24k0PEwCHQkaOxEla0vySBQd9iku0agI67cTKDTVUCgvhNVtr4kg0A1fHl8777Re5hqEKi6tm4NBHoUMWXrTS4IVIPpM5wNCFRdW7cGAj2KmLL1JhcEqgGB7iLQfC+Bji7nzWa4CzFl608uW9YEgS5YB4Fql0OgzokoW49SQaBDEGggAl0AAu2IKFuPUkGgQxAoAo2QeLL1KRMEOgSBItAIiSdbnzJBoEMQaEwCnVjcpw1xe+LJ1qdMEOgQBIpAIySebH3KBIE6A4Gqa+vWQKBHEU+2PmWCQJ2BQNW1dWsg0KOIJluvEkGgzkCg6tq6NRDoUUSTrVeJIFBnIFB1bd0aCPQoosnWq0QQqDP2F6h2AgIdLIlAS2LJ1q88EKgzEKi6tm4NBHoUsWTrVx4I1BkIVF1bt8ZCgc7XehkItCOWbP3KA4E6A4Gqa+vWQKBHEUm2vqWxYX0Q6IJ1EOhk/cZrvQwE2hFJtr6lgUBdgUDVtUfKRaCHEEe23mWBQF2RlEA1kxGo38SRrXdZIFBXIFB17ZElEeghxJGtd1kgUFcgUHXtkSUR6CHEka13WSBQVyBQde2RJRHoIcSRrXdZIFBXIFB17clyzQRqvoywJAItiSNb/7LYrkYIdME6Hgi0+3d/gc7WTw8CtSCKbD1MAoE6AoGqa0+Wi0B3JopsPUwCgTrCE4HOhUGgFmFiIIpsPUwCgToCgaprT5aLQHcmhmx9zAGBOgKBqmtPljsm0CUgUAtiyNbHHBCoIxCouvZkuQh0Z2LI1sscNqsUAl2wDgK1AIFaEEG2fqaAQN2AQNW1J8tFoDsTQbZ+poBA3YBA1bUny0WgOxNBtn6mgEDdEKRApakINGbCz9bTDBCoGxCouvZEuQh0d8LP1tMMEKgbEKi69kS5CHR3ws/W0wwQqBsQqLr2RLkIdHfCz9bTDBCoGxCouvZEuQh0d8LP1tMMEKgbEKi69kS5CHR3ws/W0wwQqBsQqLr2RLkIdHeCz9bXBBCoGxCouvZEuQh0d4LP1tcEEKgbAhHoREgEGjPBZ+trAgjUDQhUXXuiOgh0d0LP1t/6b1UzBLpgHRuBLlsDgeYIVCD0bP2tPwJ1AgJV156oDgLdndCz9bf+CNQJCFRde6I6tUANKjgRa3ZJBFoSeLYeVx+BKnz+8+r1R+O1EKhBdez3PicqM7YkAi0JPFuPq49AK94//ur34p/Tq/PyB8uzOy8M10egBnVEoEZ8+SHTUQ3YpYSTrRaPq49AC07P6/F4etYNz+/N9kIRqEEdEagRCNTr6m9Ut5AEWnmzGI/Vv2cXFxflbuhdoxAI1KCOCNSM20eGAtUtvmN93eNz9RFoflOMr//9Y/3vw3LC6R+FSH8xCYFADeqIQA0pv9kfGiyPQHcEgeaXzfC87Pc7Lw13QRGoQR33Eujk4j5vkwNKgz5dEyCobAd4XXsE+uWHenez/bfk03n2jclZUARqUEcEakwxNo3OeaqEla2K17VHoO3gFAep6YBFoAZ1XDc2khRoeXrJ5CBeJbBsFbyuPQJtZVkcJyHQfAeB7kokAhUHpwWBZSvjeeW3qV5AAu1OMF32h/DFF37Ch/BqDAR6PJ8uLv67/dqhZSvheeWTF2h+3dwT8um8vXJketnTnUBtwiydOBlhuMasQJeXh0APJuhsPa88Ai3vVL7zJq9MWt/G9PKw25hswjiJgEBjJuhsPa88As1vyjvn7//84cM/CpM++fX5eWZ6yh6Brpm9JQi0JORsfa87Aq0O3hUML3ki0DWztwSBloScre91R6B5/xaRhuNeJmITxkkEBBozIWfrfd03qWBgAi34/OvF43sF93/8+cDX2dmEcRIBgcZMwNn6X3UEuh4Eumb2liDQkoCz9b/qCHQ9CHTN7C1BoCUBZ+t/1RHoehDomtlbgkBLAs7W/6oj0PUg0DWztwSBlgScrf9VR6BDDnsW3iaMkwgINGYCztb/qiPQIQgUgcZEuNkGUHMEOgSBItCYCDfbAGqOQDV8/vCXyeIIdM3sLUGgJeFmG0DNEeh6DhToehBo9ASbbRAV36KSCHTBOp6khECjJ9hsg6g4AjXEza8eItA9QKAloWYbRr0RaMXpw59XV1e/fZh/Eh6Bji9rM3tLEGhJqNmGUW8EmufvnwsyfPDadHUEumb2liDQklCzDaPeCPT2kbI/ecfoffQIFIH6TaDZhlLtDeoZlECrN9Jn9y5qvi0/nD01ioBA18zeEgRaEmi2oVQ7cYGWv4l0Jr5C+d15Zvgjsgh0zewtQaAlgWYbSrUTF+j1QJelUkP5Vc71INDoCTTbUKqdtkC734UXOOx34Y8AgUZPoNmGUu20Bap77j2gZ+HXg0CjJ9Bsg6n2BrpDoPPreDI8EGj0hJltOLVOWqDFIfyZetcSh/AINCbCzDacWict0PxyYMvytOhdkxAIdM3sLUGgJUFmG1Cl0xbop/PCoG+ECbeFPwc7pZMg0DWztwSBlgSZbUiVdl7XkARa3sdUGPPi56uSX+s76Y3uYkKgCNRrgsw2pEqnLdD87bnyKOfZT2YBEOia2VuCQEtCzDaoOicu0Pz0SlTo2ROTC0glCHTN7C1BoCUhZhtUnVMXaMHp/dWri4uLJ1evTe2ZI9AlJRwDAi0JMdug6oxA14FA50vwCw+rtCEhZhtUnRHoOhDofAl+4WGVNiTEbIOqMwJt+PL43n2j9zDVIND5EvzCwyptSIDZhlVlBNpg+gxnAwKdL8EvPKzShgSYbVhVRqANCFSerPy1pgS/8LBKGxJetqHV2HV9EeiCdTwZIwg0esLLNrQaI9AaBCpPVv5aU4JfeFilDQkv29BqjEBrUhRoBQKNmeCyTb7CCHTBOj4NEgQaM8FlG1yFXdcYgS5Yx6dBgkBjJrRsQ6tvjkAbEKhmCgINndCyDa2+OQJdBwI1DH44HlZpQ0LLNrT65gh0HXYCdV8PexBozISWbWj1LXFbZwQaGAg0ZgLLNrDq1iDQFQTZ4xIINGYCyzaw6tYg0BUE2eMSCDRmwso2rNq2INAVhNnlIgg0ZsLKNqzatiDQFYTZ5SJTAt0g+OF4WKUNCSrboCrbg0BXEGifT4JA4yGobIOqbA8CXUGgfT4JAo2HkLINqa4STiuOQIMHgcZDSNmGVFcJBGpPsJ0+AQKNh5CyDamuEgjUnmA7fQIEGg8hZRtSXWVc1hyBBg8CjYeAsg2oqioI1JqAe30UBBoP4WTr1yt2zECg1gTc66Mg0HgIJ9twaqrB603G64YNuttH8Ho0rMbDKm1IMNkGU1EtXm8yXrds2P2ux+vRsBoPq7QhwWQbTEW1eL3JeN2yYfe7Hq9Hw2o8rNKGBJNtMBXV4676CDR4EGg8hJJtKPUcA4FaEnrH60Cg8RBItiFfgq9AoJaE3vE6EGg8hJFt8P5EoLYE3/Pb4mHzeFilDQki2/D9iUBtCb/rN8XD5vGwShsSRLZBVHIaBGpJBH2/JR42j4dV2pAQso1gB9RhQyNQ6PGweTys0oYEkG0U/kSglkTR+dvhYfN4WKUN8T/bOPzprqURKPR42DweVmlDfM82i8WfCNSOWLp/IzxsHg+rtCGeZxuPPxGoHdH0/zZ42DweVmlDfM42i0ifubOmRqDQ42HzeFilDfE126zh6Ho4BIHaENUQcI+HzeNhlTbEs2wziaNr4xg3CSFQ6PGweTys0ob4k23U7qxAoBbEORSc4WHzeFilDfEj27jF2YJALYh7SKzGw+bxsEob4kG2KbizAoFakMC4WIOHzeNhlTbk6GxTkWcJArUgkbFhi4fN42GVNuTYbBOyZ4mTVBEo9HjYPB5WaUMOzDYxe+bpCfT059WbtTHSGiHGeNg8HlZpQ47KNqVD9x4XCQck0C8/ZNnDlTGSGyNmeNg8HlZpQw7KNkF5lrjI3PgQoAAAFr5JREFUOjCBZt9/XBUjyXGyHA+bx8MqbcgR2aa479mQoECzsxdrYqQ6UhbiYfN4WKUNOSDbdPWZoEDP/lb09oMVZ0LTHSuL8LB5PKzShuyebcr6TFCgX/3+x3mxE2p/HJ/yaFmAh83jYZU2ZO9s0/ani/YOTaD57aPyOP77v+xipD1cZvGweTys0obsnG3i+nTRAMEJND+9Oi+/N+9bnQtNfcDM4GHzeFilDdk129R3P0sSFGih0JeVQrP7PxvvhzJiJvGweTys0obsmS3+LFnbBiEKtNsLLfj6/o8mJ0QZMpN42DweVmlD9ssWfdasbYYwBVrw/nmjUGHaPAyaSTxsHg+rtCF7ZYs+O1IVaMH7V48RqFM8bB4Pq7Qh+2Sb8K3zQ1Y2RcgCLTl9+MAhvDM8bB4Pq7QhO2Sb5FPvU6xrjdAFaggjZxIPm8fDKm3Ittkm8aJ5c1Y1CAKFHg+bx8MqbchG2Ub/+0brWNMoAQn09PcLoyvuOhg+k3jYPB5WaUM2yBZ3zpOGQF3AGJrEw+bxsEob4jxbzLmEFS2EQKHHw+bxsEoznD78eXV19ZvRxc0Wt9kiz6XYtxMChR4Pm8fDKk3R3Z5c8uC16eoOs2Xf0wTrpkKg0ONh83hYpXGqN92I3PnFLICzbLGnIbbtFbhATa/MM6Ym8bB5PKzSKDfVA8b3Lmq+rd7//dQognG22hUkexZ/1P+TFm7+VK4wVQv2EzIVZQ39QmHQZq+2mpMOWAUCDRcPm8fDKo1R/mSC9IMJ784NH5RzIFBZETkCHaHNfth2KztgNQg0XDxsHg+rNMb1QJfGv4NoKVCNHRDoNG32anP2czfqsfmIrgNO8vmD0SvtAtocj8DD5vGwSiOcnmWZesB+k2XfOH/UeN4MOQKdo81+pm3d9JgRXg/4cDbHQ/CweTys0gi6o6HpI6SxDXtumfm1EOgcbfbaZptdU9POzvB6wIezOR6Ch83jYZVGcCLQ/8+Q0TW6GcUf9f+khZs/laKrBfsJutoNJi2xlYe02S9tz3FcjyOPBryu4Y6uE5gRTo8Vh/Bn6l1LmxzCg0cEuAe6/EkPBBo+AfXY5cCW5WnRuyYhAsoWKkITqD9PesAuBNRjn84Lg74RJtwW/hzslE4SULZQEZZA/XnSA3YipB67Lofk2cXPVyW/1nfSG93FFFS2UBKUQA940gMOJqgee3uufMGf/WQWIKhsIQ9LoEc86QEHE1aP9T8XW+nziekbmcLKFsIS6BFPesDBBNdjp/dXr4rjoydXry3eZxdctskTkEB3e9IDPCKtHksr2xgISKDmNyoPYYCGRlo9lla2MYBAwWvS6rG0so2BgATKkx4pklaPpZVtDAQkUJ70SJG0eiytbGMgJIHypEeCpNVjaWUbAyEJlCc9EiStHksr2xgISqA86ZEeafVYWtnGQFgC5UmP5Eirx9LKNgYCE2jOkx6JkVaPpZVtDIQn0FUwQEMjrR5LK9sYQKDgNWn1WFrZxkCoAv3y+N59o/cw1TBAQyOtHksr2xgIVqCGz3A2MEBDI60eSyvbGEhOoBAa7gePvxzd1mCO8zHgOqAWBJoM7gePvxzd1mCO8zHgOqAWS4FuzZ6b+45lxVlUsuzaxpFuEtsVhkDjKyvOopIlCs8cXRYC3YJIR0ucRSVLFJ45uiwEugWRjpY4i0qWKDxzdFkIdAsiHS1xFpUsUXjm6LICF6inRDpa4iwqWaLwzNFlIdAtiHS0xFlUskThmaPLQqBbEOloibOoZInCM0eXhUC3INLREmdRyRKFZ44uC4FuQaSjJc6ikiUKzxxdFgLdgkhHS5xFJUsUnjm6LAS6BZGOljiLSpYoPHN0WQh0CyIdLXEWlSxReOboshDoFkQ6WuIsKlmi8MzRZSHQLYh0tMRZVLJE4Zmjy0KgWxDpaImzqGSJwjNHl4VAtyDS0RJnUckShWeOLguBbkGkoyXOopIlCs8cXRYC3YJIR0ucRSVLFJ45uiwECgDgGwgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYEnEAv10nj01WuH2+XmWnT14szbOZrzXV3AG79OCISOdVnJ6ey/Lsns/fdyjsAqXQ2W8rNOrMq+vTYe3aTGz2ZoRr0C//JCZdfvbol1Lzv5lXZytOL3MGh6arOZ7WqBhpNNKPjWzsju/b19YhcuhMl5WOyfLvt+ymNlsDYlXoJeZWbffZB3SaqZxNuOyr6CBQb1PC4aMdVou+DPLvnGzDzpRWI3DoTJeljAnu7tdMfPZGhKtQG8Mm6j8mr1T7Na/f5RlXwnf7aZxNqPccsrjjttnxbfnL0vX8j4tGDLWac2ss5/K491zwyMRi8JqHA6V8bKqOa/zetby4W1azHy2psQq0LKhZrr99Ez8Dr9uv9GLycLIXBBnJ667b+bLyU0nsLRgyEinNbOa7f7G0S7oRGEVLofKeFk33eguZ63cBZ1uv8lsjYlUoEXzfPV/mQi0+NB+7xW7et30JXF24rKr4M3kCAssLRgw0mnKLOHPjQpr5zsbKhNlXfZFaKvhqJi5bM2JVKDFF83Ta6Hb6yuX918ojdm3YPE9234QR6Ya50B0Ao0gLRgw0mklxVa/+gTh4sIqXA6VubIGSzkvZlkNTIhToMU4e5hfS19qNXeEmxck04h7df23oRrnSKRD+LpCMaQFA/Sd1s5ycuJzUWElTofKTFkNqwU63X4LamBClAKtHXItCqNFOHGsmqYbmd2KapxDKc9FVReRnrencaJICwZoO034WN3I+PVPmxeWux4q02UJS63by54oZlkNTIhSoPXRbtdA1ZW3F+UB77nYN5JpxNbsWlmJczC3j1pd1ncARpIWqGg7rabsumtpFGxYWO56qEyX1VAM65WH1hPFLKqBETEKtGmZrrH665VN54j3nGXZYIy0LavGOZryBqaSB3UysaQFCtMC/ZvusGOTwpwPlSX6Ol26uAiPQFfQnkPpGqu//NI02jLTDOIczHVf4erwLZK0QGV8Kz9VX6HliZzP5WNpLq4nTSnF9VBZoK/Sn2u/GBDoOi6bHmgbSzwpXV/FXGYaNc7BlP78/q9m03kaTVowYEagD7s5Lq4iTynF9VCZ19fJ6CkR82IQ6DxdGwkCFRFvhpw6WTiIcyzCA8lvqy/pONKCmq43C31MHsL3nWt/FXlhYU6GysKyam4dPIaEQNfR3ynXNpZwsXrcNIPLc8M4xzK4ASOOtKBG9MzEpWLxITR7ASwrzM1QWZhYRXk11MGlMa7Cr+E6k3k4+sjB9A2TwzjHInb3dTxpQY3imbGbFa+3EOhIYW6GysLE2gK/d/BwEPeBrmHY7UUXak9LTz+y45tpBgcfcaQFQyYelxEFcO2k98YLcz9Upp8DeulqOPIk0hqG3V6emNZ91Uw/NO6baQbfnXGkBUMmHtguPnffmm72oMYLcz9UJp9Ev3ZzUWy6GJ6FN0A8B/7Vm25aNw4WvbYo9+VkYXnKs6nGTXeFPfy0QMPEK4PKuyTr3n3r7kbQufcTORsqE2Xd9KN5y2IWZGtGCgKt36H4sb4DaOIVBtULCYcvCvTENOVrbbvbmMqd0TjSgiHjnVZ9j5azPrs84B0rrMXZUBkva/3zR4uKWZKtGSkIVLpBcnTQjb6q2hPTiLct1Zcqo0gLNAw6rfeLcGC91RvpBzJzN1RGy5LPF6x16URKvJF+MUK333S3/Ex8af8x8mMpvpjm9EzdcqJICzSonSY4rZ3VPtG7aWE1DofKSFn92HYi0CXtx28izSF2e/OLf0/+mlph5Of6/DHN+8dVBV93E+JIC4YonSY67fOrb4tZ91+Preq0sAqXQ0VflvJUyPqj+YmU+FVOAAAvQKAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQK148sP2Tcf6z9vX9gEqNc6Pcu++t1drWAHrjOpz26y7KFpiC8/9BGKIdDxtJl2+/w8y84evOnXGE6ZqF7LvSd/mdYsl4a2hsGI7RfvhvTZLxbF5pNJDmadXt0rMvx6so00y7xf3I4LQaB2dMPm9NJ8++nXQqDhURrqbv/RQqBSrxcjSRXo2/P649m/tAsNp0xWr+PsJ8Oq5dYCFYa0pUAnkhzMaidk2fcGyxR1bLDYZvUgUDu6UWazA9KvhUDD41rcV7QZAKdLcR/2RvDdU3XK08EyT7Uh1eoZLD/AUqDCkLYT6ESSg1lio91dvsxlP8WVQRGoHY4ECuFRGUoSoFlXVsfs/frXqi/KXdI7xTHm+0ftYsMp09Vr4p3eFctPuHCEaYGOLr5WoBNJDmZVE17n9ZS6tCXLfCp2Scuj99tnmfVpBhUEagcCTZZrcZ/GvCvfncsCvlR1cd1arzTtQ/2U6ep1Qi5GqbkoDhLoRJKDWTdd+5dT7hos0++KOtr+EKgdCDRZis3wu/PeUmZdeVvsDmUPHvXSLLZuWVeCgIo9pnLecMpM9fo92kuLY/hjBDqR5HCWkNZoGw2XKSa1y9xIp7HXgEDtaIbNjXjW5fS2vOh3/0XT+ZfFEu++LSaUl/w+VxcEz+5XFyr7tfozSqd3j4WVq+mnV9+KVwzr8F9bXVkFdxSGeihciVcFKp56ywaHitflhR3xPGIxkORNWfBXY4XhlJnqiQJtF5cGoHZ85bfPi4/ff6yL69bs92KrqvZ1lxaXhnSx/NtvNRe7p5pmIsnJ/JuZS5ZBoB6hEein9qLfnXrcFAJ9246T/sy+vFY3HKs9k37lcvr/ey4EF8Kz73ospUC7o0JjgRbKkS7EFIs/va2/O7sJ3bZd70UNp8xUTzyEb7QiD0Dd+GoX+ea/qpWu27RuMuEvYcTKi8sC/Y/mas2ZXNeppplIcjL/fkOcXUY+hDe/uqYFgdoxFGgvuGaEXWZfV5PuyldGH+oEKtzLUn0Wbw6sB5rmbhc4hEotn86Fi70GAv3c6uv3LtrZ35pFHwzOCV23AlWmzFRPuIjUFK8MQM346hf5X6qhXSR4t1u1/qs6W9vWXVlcFui38pawpGkmkpzMvzHnkmWqbai6iPTc5uKaHgRqx+AcaHXR70V5oH3edFf5LfzNm3be9+WR9/v2sqh6G1Ox7NmTYtfkVbNyNcDPfvpY37lWLnrdXFMsryC66nywod436w7iV94HKtxZ0+0mdZv/TVuUMmWmej3NwdBgAA7HV3sVu7p58pt+L7lasqpYPeSb6eri0pBuQv8jM2iaiSSn8m9PMCxZRjjOy+64unkQgdoxEOhN57W2vy67Kf3xRfG9Xg1LRaDF5KaLm7/KUdhsY81xR3fQwa2jB1MLtLtWvE6gZZjyq7PaK2q/Kd0JtLmRfjAAh+Oru4pd7luXf113Rz4X9V/FjIdd3QeLSwL96o0YehF2Ai1vqb27dJm83v3od/ZdgEDtGAi0P0HdTtLdKlGsphOoMNIu5c2zu4R43e7OwsE0ZwfbL711AhVuNGr2aZ0KdGCwZgAOxpdw5aVxY+3LosDyZOnTvDVqXffh4pJA5aG7CCuB9o8kLFlGbBubR7S0IFA7VIGK9340p48GJ6o///n380wrUPmWi7u6uzKq80dn3/07R+9H015eue6uCK56lFOcWo4CBwJtz4G+b/dqG/oBOBhf7Td7N6Ed0dfVZaK73f1Wdd2Hi+tuY9paoKf+hvgly1T+LM9kfH6ZcRHpYDQCFalvROvPkp/ePW6vMWkEKt54Mdgh6G9ia747uY/pWK7lXS2zi0h5s6buLMz1iC5tBZoLZ2qVAagTaOu6/qafemg+rG7Ia/dIO4Gqiy8Q6FTTWAj09pHkxtllym20fdvAgke6loFA7VAFKlyD1whUnKsXqHhfoF6g1QWmGu5jOpLuBp/6IN6dQG8GQl53FT7vnaEOwMH4ElwnGPFp+eFpffB+U69R112/+BqBml+FL69fddeCFi5jcDvYQhCoHRqBqkcrl9JXX5Z9ff/Hn/9Lew500R5owbvnGPR4OoHWB/EbCNTZfaDtaYHBAFyyB1r8+7A8BVrp8mm9G7rdHqjxfaDV8fhHk2XElrl2tREhUDs0h/DqNnEpHl/095PMnAOtR8LoKPz86/OM+5gOpd/2qoN4Z+dAmw3c6ZNI/XlVeQAuOAdan/S8bGbebZ+Y2uocqOmTSC/l/Ygly5idClkIArVDFWgzUkU6gQoD4kZ/EUl3FV4ehfKFW+5jOhBh56U8iP+3VQIVgjUX5J0+C1/HHA5A3fgSdtvqMooj9/941txQUj5U97Svu2bxlQI1eha+fiT2F8NlOIT3iMFtTNfd3W/tRqER6O0PeoHq7gMdvhvhYVc0Aj2Qa/l0m8UZFUGg7Y3B8i2NymuJrN/G1FxEGg7A4fjqyigP97tbPP+5u4Ppb+3VKOU+0G7xlQI1ehtT9T3wxnSZ/umxcp6j99khUDtEgbZnjKrnL6p7JJob6ds+uqyPoOrLQO3Ng8IZJflJJP1OR3n+qHuYxNGLEMAGUaD1ycW1N9KXw0Z5s+XrwftAXxu/D7S/OX8wAIfjqy3jXfdoUf1MUVVedQ3qrlj34eLCkLYS6ESSg1ma1/QtWeYyE25j4mUih9IJtL6++VQ+Q67cWi+dPG+f6shmnoUfu40pc3YHBlghXX+4WSlQ6fr4QyFmzfo30rcHPPIA1Iyvbpn/rTudeJkJewfKg3CDxYUhbSXQYZK9AtVZco71QguWEe81dPUsJwK1o/9NpGft0L9RbjMSbmNqf4rl7Elz7qhdq9uUhm9jGtzG1L3/4Y6jl2mDFfIF3MtsnUDzT23P9z8F9Mfgx4GGU6aqJ9B4Qh2AOss1PyHUvF6p5EYYy92Zhrbu6uLCkLYT6CBJYR9SntVvCoJAlyzTT3R2GRaB2tFf9TuVx0nVr1Y1PwLY3ugu3khfvezz6ycfuxPZzVr9ptS+D7ReXjsKq18U7N83CscgC7Tcq1l3Ff7UDA7h+QhHv8r59YPX7VRlAGrHV1lG94LPNrenbdD+9e7d+0DlxfshbSlQNUnxIFyapTy10i60ZJn3j6tlXueuQKAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJb8/3YBiHrFFnfRAAAAAElFTkSuQmCC" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.009572733
## Lag 250   0.002785127
## Lag 500  -0.019374009
## Lag 2500  0.031140999</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.004122377
## Lag 250   0.028196384
## Lag 500  -0.015404800
## Lag 2500  0.008807668</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.008578907
## Lag 250  -0.006536405
## Lag 500   0.001750938
## Lag 2500 -0.011427604</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.031700387
## Lag 250  -0.015284565
## Lag 500  -0.004244238
## Lag 2500 -0.012848286</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 50    0.027601426
## Lag 250  -0.003682054
## Lag 500  -0.009835031
## Lag 2500 -0.011633955</code></pre>
<pre class="r"><code># Format the tables and print

colnames(output_table) = c(&quot;trait&quot;, &quot;cov_trait_femaleW_fb&quot;, &quot;cov_trait_femaleW_e&quot;, &quot;cov_trait_femaleW_mb&quot;, &quot;diff_trait_femaleW&quot;, &quot;cov_trait_maleW_fb&quot;, &quot;cov_trait_maleW_e&quot;, &quot;cov_trait_maleW_mb&quot;, &quot;diff_trait_maleW&quot;, &quot;h2_trait_f&quot;, &quot;h2_trait_m&quot;, &quot;rep_f&quot;, &quot;rep_m&quot;)
rownames(output_table) = c()

colnames(output_table_sep) = c(&quot;trait&quot;, &quot;cov_trait_femaleW_fb&quot;, &quot;cov_trait_femaleW_mb&quot;, &quot;diff_trait_femaleW&quot;, &quot;cov_trait_maleW_fb&quot;, &quot;cov_trait_maleW_mb&quot;, &quot;diff_trait_maleW&quot;, &quot;h2_trait_f_fb&quot;, &quot;h2_trait_f_mb&quot;, &quot;h2_trait_m_fb&quot;, &quot;h2_trait_m_mb&quot;, &quot;rep_f&quot;, &quot;rep_m&quot;)
rownames(output_table_sep) = c()

# Output for data presented in Tables S3-S4 (PRCs), and Tables S6-S7 (heritabilities)

write.csv(output_table, &quot;Output/PRC_output.csv&quot;, row.names = F)
write.csv(output_table_sep, &quot;Output/PRC_output_sep_sr.csv&quot;, row.names = F)

####################
### Make Figures ###
####################

# name the list of plot objects
names(plot_list) = list_traits

# Extract legends
legend_2 = get_plot_component(plot_list$Female_fecundity + guides(color = guide_legend(nrow = 1)) + theme(legend.position = &quot;bottom&quot;), &quot;guide-box-bottom&quot;) # for plots with 2 sex ratios
legend_3 = get_plot_component(plot_list$CD_female + guides(color = guide_legend(nrow = 1)) + theme(legend.position = &quot;bottom&quot;), &quot;guide-box-bottom&quot;) # for plots with 3 sex ratios

# Figure 2

# Make a combined plot without legends
figure_2 = plot_grid(plot_list$Female_fecundity + theme(legend.position=&quot;none&quot;), 
           plot_list$Mate_fecundity + theme(legend.position=&quot;none&quot;), 
           plot_list$MR_Female + theme(legend.position=&quot;none&quot;), 
           plot_list$MR_Male + theme(legend.position=&quot;none&quot;), 
           labels = &quot;AUTO&quot;) 
# Put together plot_combined and the legend using cowplot
plot_grid(figure_2, legend_2, ncol = 1, rel_heights = c(1, .05)) </code></pre>
<p><img role="img" src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>ggsave(plot_grid(figure_2, legend_2, ncol = 1, rel_heights = c(1, .05)),
       height = 8.5,
       width = 8.5,
       file = &quot;Output/Figure_2.jpg&quot;)

# Figure 3

# Make a combined plot without legends
figure_3 = plot_grid(plot_list$P1 + theme(legend.position=&quot;none&quot;), 
           plot_list$P2 + theme(legend.position=&quot;none&quot;), 
           plot_list$ML_female + theme(legend.position=&quot;none&quot;), 
           plot_list$ML_male + theme(legend.position=&quot;none&quot;), 
           labels = &quot;AUTO&quot;)
# Put together plot_combined and the legend using cowplot
plot_grid(figure_3, legend_3, ncol = 1, rel_heights = c(1, .05))</code></pre>
<p><img role="img" src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>ggsave(plot_grid(figure_3, legend_3, ncol = 1, rel_heights = c(1, .05)),
       height = 8.5,
       width = 8.5,
       file = &quot;Output/Figure_3.jpg&quot;)

# Figure 4

# Make a combined plot without legends
figure_4 = plot_grid(plot_list$CD_female + theme(legend.position=&quot;none&quot;), 
           plot_list$CD_male + theme(legend.position=&quot;none&quot;), 
           plot_list$RML_female + theme(legend.position=&quot;none&quot;), 
           plot_list$RML_male + theme(legend.position=&quot;none&quot;), 
           labels = &quot;AUTO&quot;)
# Put together plot_combined and the legend using cowplot
plot_grid(figure_4, legend_3, ncol = 1, rel_heights = c(1, .05))</code></pre>
<p><img role="img" src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>ggsave(plot_grid(figure_4, legend_3, ncol = 1, rel_heights = c(1, .05)),
       height = 8.5,
       width = 8.5,
       file = &quot;Output/Figure_4.jpg&quot;)</code></pre>
</div>
</div>
<div id="trade-offs-between-male-pre--and-post-copulatry-traits-table-1" class="section level1">
<h1>Trade-offs between male pre- and post-copulatry traits (Table
1)</h1>
<p>We measure additive genetic correlations between the following male
traits (variable codes in brackets):</p>
<ol style="list-style-type: decimal">
<li>Sperm defence ability (p1)</li>
<li>Sperm offence ability (p2)</li>
<li>Latency to mating with virgin females (ml)</li>
<li>Latency to mating with mated females (rml)</li>
<li>Fecundity of LH females held with focal males at male biased sex
ratio (matefec_mb)</li>
<li>Fecundity of LH females held with focal males at female biased sex
ratio (matefec_fb)</li>
</ol>
<pre class="r"><code># Select data for traits
d_tradeoff = d[d$Trait==&quot;P1&quot;|d$Trait==&quot;P2&quot;|d$Trait==&quot;ML_male&quot;|d$Trait==&quot;RML_male&quot;|d$Trait==&quot;Mate_fecundity_Male_biased&quot;|d$Trait==&quot;Mate_fecundity_Female_biased&quot;,]

# Standardise the trait data
d_tradeoff$Measurement = scale_by(Measurement~Trait, d_tradeoff)

prior_tradeoff = list(R = list(V = diag(6), nu = 0.002), G = list(G1 = list(V = diag(6), nu = 2, alpha.mu = c(0,0,0,0,0,0), alpha.V = diag(6)*1000), G2 = list(V = 1, nu = 0.002)))
    
fit_tradeoff = MCMCglmm(Measurement ~  Trait -1, random = ~us(Trait):Family + Replicate:Trait, rcov = ~idh(Trait):units, family = &quot;gaussian&quot;, nitt = 500000, burnin = 50000, thin=300, data = d_tradeoff, prior = prior_tradeoff, pr=TRUE, verbose = FALSE)</code></pre>
<pre><code>## Warning in MCMCglmm(Measurement ~ Trait - 1, random = ~us(Trait):Family + :
## some fixed effects are not estimable and have been removed. Use
## singular.ok=TRUE to sample these effects, but use an informative prior!</code></pre>
<pre class="r"><code># Additive genetic variances for the traits

va_p1 = 2*fit_tradeoff$VCV[,&quot;TraitP1:TraitP1.Family&quot;]
va_p2 = 2*fit_tradeoff$VCV[,&quot;TraitP2:TraitP2.Family&quot;]
va_ml = 2*fit_tradeoff$VCV[,&quot;TraitML_male:TraitML_male.Family&quot;]    
va_rml = 2*fit_tradeoff$VCV[,&quot;TraitRML_male:TraitRML_male.Family&quot;]
va_matefec_mb = 2*fit_tradeoff$VCV[,&quot;TraitMate_fecundity_Male_biased:TraitMate_fecundity_Male_biased.Family&quot;]    
va_matefec_fb = 2*fit_tradeoff$VCV[,&quot;TraitMate_fecundity_Female_biased:TraitMate_fecundity_Female_biased.Family&quot;]    

# Additive genetic correlations

cor_p1_p2 = 2*fit_tradeoff$VCV[,&quot;TraitP1:TraitP2.Family&quot;]/(sqrt(va_p1*va_p2))
cor_p1_ml = 2*fit_tradeoff$VCV[,&quot;TraitP1:TraitML_male.Family&quot;]/(sqrt(va_p1*va_ml))
cor_p1_rml = 2*fit_tradeoff$VCV[,&quot;TraitP1:TraitRML_male.Family&quot;]/(sqrt(va_p1*va_rml))
cor_p1_matefec_mb = 2*fit_tradeoff$VCV[,&quot;TraitP1:TraitMate_fecundity_Male_biased.Family&quot;]/(sqrt(va_p1*va_matefec_mb))
cor_p1_matefec_fb = 2*fit_tradeoff$VCV[,&quot;TraitP1:TraitMate_fecundity_Female_biased.Family&quot;]/(sqrt(va_p1*va_matefec_fb))


cor_p2_ml = 2*fit_tradeoff$VCV[,&quot;TraitP2:TraitML_male.Family&quot;]/(sqrt(va_p2*va_ml))
cor_p2_rml = 2*fit_tradeoff$VCV[,&quot;TraitP2:TraitRML_male.Family&quot;]/(sqrt(va_p2*va_rml))
cor_p2_matefec_mb = 2*fit_tradeoff$VCV[,&quot;TraitP2:TraitMate_fecundity_Male_biased.Family&quot;]/(sqrt(va_p2*va_matefec_mb))
cor_p2_matefec_fb = 2*fit_tradeoff$VCV[,&quot;TraitP2:TraitMate_fecundity_Female_biased.Family&quot;]/(sqrt(va_p2*va_matefec_fb))

cor_ml_rml = 2*fit_tradeoff$VCV[,&quot;TraitML_male:TraitRML_male.Family&quot;]/(sqrt(va_ml*va_rml))
cor_ml_matefec_mb = 2*fit_tradeoff$VCV[,&quot;TraitML_male:TraitMate_fecundity_Male_biased.Family&quot;]/(sqrt(va_ml*va_matefec_mb))
cor_ml_matefec_fb = 2*fit_tradeoff$VCV[,&quot;TraitML_male:TraitMate_fecundity_Female_biased.Family&quot;]/(sqrt(va_ml*va_matefec_fb))

cor_rml_matefec_mb = 2*fit_tradeoff$VCV[,&quot;TraitRML_male:TraitMate_fecundity_Male_biased.Family&quot;]/(sqrt(va_rml*va_matefec_mb))
cor_rml_matefec_fb = 2*fit_tradeoff$VCV[,&quot;TraitRML_male:TraitMate_fecundity_Female_biased.Family&quot;]/(sqrt(va_rml*va_matefec_fb))

cor_matefec_mb_matefec_fb = 2*fit_tradeoff$VCV[,&quot;TraitMate_fecundity_Male_biased:TraitMate_fecundity_Female_biased.Family&quot;]/(sqrt(va_matefec_mb*va_matefec_fb))

if(diagnostics){
  plot(cor_p1_p2)
  print(autocorr(cor_p1_p2))
  
  plot(cor_p1_ml)
  print(autocorr(cor_p1_ml))
  
  plot(cor_p1_rml)
  print(autocorr(cor_p1_rml))
  
  plot(cor_p1_matefec_mb)
  print(autocorr(cor_p1_matefec_mb))
  
  plot(cor_p1_matefec_fb)
  print(autocorr(cor_p1_matefec_fb))
  
  plot(cor_p2_ml)
  print(autocorr(cor_p2_ml))
  
  plot(cor_p2_rml)
  print(autocorr(cor_p2_rml))
  
  plot(cor_p2_matefec_mb)
  print(autocorr(cor_p2_matefec_mb))
  
  plot(cor_p2_matefec_fb)
  print(autocorr(cor_p2_matefec_fb))
  
  plot(cor_ml_rml)
  print(autocorr(cor_ml_rml))
  
  plot(cor_ml_matefec_mb)
  autocorr(cor_ml_matefec_mb)
  
  plot(cor_ml_matefec_fb)
  print(autocorr(cor_ml_matefec_fb))
  
  plot(cor_rml_matefec_mb)
  print(autocorr(cor_rml_matefec_mb))
  
  plot(cor_rml_matefec_fb)
  print(autocorr(cor_rml_matefec_fb))
  
  plot(cor_matefec_mb_matefec_fb)
  print(autocorr(cor_matefec_mb_matefec_fb))
  
  
}</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300    0.04844739
## Lag 1500  -0.01129978
## Lag 3000  -0.01238897
## Lag 15000 -0.01465391</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300   -0.04232405
## Lag 1500  -0.02393393
## Lag 3000   0.07647719
## Lag 15000  0.02044349</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300   -0.01279329
## Lag 1500   0.01782601
## Lag 3000   0.01360142
## Lag 15000  0.01983279</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300    0.062144228
## Lag 1500   0.016865070
## Lag 3000  -0.009122716
## Lag 15000  0.005436428</code></pre>
<p><img role="img" 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ROYQFsvW7TAuUBFrtRRAss4sHQXsq9qR9HscErsndAEejqIX7ILKlSga44Mb235CSxxo/HHvqodRdMVEnsnNIGmn8/P/4f90mIFut7QWN7UQAQEupx9VTuGrick9k5wAl0GAkWgktlXtSNotwiJvYNAJz6wDWgYBYGaNRYp+6p2mIENQmD3INCJD2wDGkZBoGaNRcq+qh1m1SG2CAQ68YFtQMMoYgQ6I5Pp0e2wHIHbzAA8auyOoX6Q1z8IdOID24CGURCofT5CQKDOCOh2bQQ68YFtQMMoCNQ+HynwrgZHjGwO4joIgU58YBvQMAoCtc9HDEd/72rYFSO9IK6DEOjEB7YBDaMgUPt85HD09q6GPTHaCdJ6CIFOfDARCoHqJu9VoP7e1bAnEKhcECgC9YqvdzXsCQQqFwSKQL1y9PSuhh0x3gfSegiBTnwwEQqB6ibvV6C+3tWwIxCoYBAoApXMvqrVMtUFwroIgU58MBEKgeomI1BL9lWtjslNQVgXIdCJDyZChSXQrBkEKph9VatjsgeEdRECnfhgIhQC1U1GoJbsq1oN9sNvIxDoxAcToRCobjICtWRf1WpAoAjUgkUCNVgWgQpnX9VqmNMBojoJgU58MBFKhEBnL4xAhbOvajUgUARqAQJdkk9E7KvaPrPqF9VJCHTig4lQCFQ3GYFasq9q+8yrX1IvIdCJDyZCIVDdZARqyb6q7TGzfEm9hEAnPhicry/QoRjTsRHoknwiYl/V9kCgafwCTeqfussNmQyBLkDSxuKffVXbxXwvZnsQ6MQHvfkQ6EiZ5UcI1JJ9VdsFgeYRXQd0yb4E2vtgBYE6PDM8N5+I2Fe1XRBoHtF1QJcg0OUCHSsTgS5jX9V2mF28pF5CoBMf9OZDoAjUG/uqtoPZqSghINCJD3rzIVAE6o19VdsBgRYRXQd0yRKB5rMgUATqkX1V2wGBFhFdB3SJb4Fqo4Qp0JGocwTqamAJ2lZWYF/VtjGpXU4/IdBZWqmXdSTQziSPAm19uIFAh5ubV7OcTWUN9lVtGwRaRnQd0CUDAp21wyRSoHnqXUeqPyf9CVMBtSmqcyBQX+yr2jYItIzoOqBLECgClcy+qm1hVrqYjkKgAQu0yHstgTZKTHozd1pDoJbsq9oWCLSK6DqgS5YJtGUrBKoNjkCXsK9qVQwrF9NRCNRIoAkCRaAe2Ve1Kgi0jug6oEu0LtubQEfbcijQ8pyHLpa2gfF8dsG+qlVBoHVE1wEHOH74/S/jhRDoRgLVtIlA++yrWhUEWkd0HbDF+6urN9m/t08yXR3+brj4ngRapJM03kOg4tlXtSoItI7oOqDC27PMCvc+pTdnpc1OP5uAQIeS7C2PQDdgX9UqmBYupqOCEuh1qbD7Xx+f9j7Pz7/NfjaKYCnQygIItN2eTqD1XEprCHQm+6pWwbhwKT0VkkA/n3Y77/782+ng/W9J8iibkhn1uUkIa4EmCBSB+mdf1TaY1y2lp0IS6GVxxH68aHY8Lw13Qf0ItJyGQBHoQvZVbQMCVSK6DliRiTPf3bw5Hb//Ukw77ZQanQX1JdCkijS70X782agpINCo2Fe1DQhUieg6YMXXx8k3f7R+aP04i0gE2jgRgUbFvqqtsSlbSFch0FgFmswW6NDyutkQqFf2VW0NAlUjug5YcTqEL47cT8ftOzyE12gLgcbGvqqtQaBqRNcBay7LK0anf4uL8PlleBEXkRAoAnXBvqqtsKtaRl+FJNCb03b4w8ePvybJg2ZfVMJtTI4EOpVDe+50A4GWXYVAfbGvaisQaCui64ANl6XC7v3nSZwPr65eJKaPIhkLtFZjS6CljKrPxQm0TneRQJPebAjUM/uqtgKBtiK6Dthw/DW3wmnvs3omyewSkmyBThzHTwu0sfB8gTaVdJtBoBuwr2orEGgrouuAKh/+8eC7p9k+55/Fw/APzR6FR6AIVDT7qrbCsmoRnRWYQBuO7/9x/rPx++yiF6ianxOBqs16FehA9SK2ktXYV7UltkWL6KxgBWrHZgLVGbPz69DivdRjFejcvz4Rs69qSxBoO6LrgC7xINBGKeMC7Ruz82vSMpM2z87CngRaOc+1QMd3ORFourdqSxBoO6LrgC6ZFqh2Kx8XaOMaBIpAF7GvagusaxbRWQhUqkC7sYQKNOmEMhZor6pu2bqpsbKvagsQaCei64BjjD8Ln2jQz2Qn0NIQCFRtHoEuYF/V5tiXLKKzEKgQgaphEGhvrp2wr2pzEGg3ouuAY7h/G9NygeqcNCZQJUrdmCuB9j6dEmjdFwh0C/ZVbQ4C7UZ0HXCULx+N7gUdEmiz9UYm0KTz6VoCrYtAoCbsq9qMJRVL6K3QBWrIiEAT7RyKAOYLtGM/VaD1P1YCVXReLylZoE1/IdBZ7KvaDATai+g6oEvGBJro5rATqE5SLXNGIFDFl63mFwhUNxglbCTrsa9qMxBoL6LrgC5BoA4F2gmGQJezr2ozEGgvouuAXY4f319dXf3+0fA9IjmmAlUFsLpAeypfKFD1rGQ7t1YrCHQ79lVtxqKKBXRXaAL98KIRQ/LwteniCBSBSmZf1aZLCxbQXWEJ9PZJ0ubuL2YBIhJoNZe9QCt5Wgu0XegMgXb6ttXhCDTdW7UpAtVFdB2w4SZ/CeiD84Jvs18ORt/osbFA27tvyseOBdpKF4EGxL6qTRGoLqLrgDVfH5+E+VKZ8O7M9JX0cwTa8QkCbeeJQD2yr2qX17t9f4Uk0OueLjOlPjIJ4VOg5b99ryBQBDqTfVWLQLURXQesOF70v4LzxvBb5SIVaKOi2QItRTlXoMrCCNQf+6oWgWojug5YoXvu3dWz8Ag0bc2lEWilRATqkX1Vu7zc7fsLge5LoEoQBCqPfVXroNzNOywggR4vsi80bsMhfBQCrfOdtcYiZl/VIlBtRNcBay57tjw5NblvEmIjgSZLBKoqrPFjHReBRsS+qkWg2oiuA9Z8PjsZ9I0y4fbkz95O6ShhCrQlrOoTBBoh+6oWgWojug7YcJ1tY4fzn68yfivupDe6i8m/QDvWShWZSBNoldKkQBu9ORao2pcININq1w8hLQGfFb09a1sqOTwzC2Ak0EZOLSOlCLTTHanavJFAm+hpN9zwGosYql0/hLQEvFZ0fKUq9PDU9I1MawpUCRiEQOtKW/uD0wJtGrARaJ1wO9uxNRYxVLt+CGkJ+K7o+OHq1fn5+dOr1xbvs3MqUHWzb/3YuCntqEcv0HYK7Tm9CzRREu0KtP7fuEBbzSPQBeyqWhfFbt5h4Ql0ER4F2sGpQFs7uDqBVjuLCDRsdlUtAtVHdB3QJQhUaQWBimNP1bqpdeseQ6Ad0SjbsASB1jko87QlNVOgHaV1BVqFbX6voyPQ9dhTtQh0IKLrgC4JUKAdX7kQaJN+W5gIdGv2VC0CHYjoOqBLVheoYpmuQKt22kuJFGhS/94J0KSDQF2wo2odlbp1jyFQnWjqmVUBKLMZC1TxkSLJpJOAXIE2LfcSminQKi1NxyPQmh1Vi0CHIroO6BJDgSoCQKAI1D87qtZVqRt3GQLViab1SRqIQBtJdReo62o7a45A20sl3QDtOhDoUnZULQIdiug6oEsQaCseAhXGjqpFoEMRXQd0CQJtxUOgwthPtc4qRaBrgkBb8TYUaKerEGjOfqpFoIMRXQd0CQJtxVtHoGpsTbcj0Ib9VOuu0m37DIG2RNPahtuTYxZoa7J/gbbTQ6ANu6nWYaEIdEV2I9BuUAQaBLupFoEOR3Qd0CXuBNpTSgfZAlXDIlA57KVal3Ui0BWxEWjSsU+KQBGoJ/ZSLQIdieg6oEvsBNq2R+pfoM3HPV+JFWg9MU27yymx67UwmMX0GouYvVSLQEciug7oEgTaSxKBCmIn1TotE4GuiDOB9pXSwbFA22G8CrT5F4GuzU6qRaBjEV0HdAkC7SVpJ9BeOgjUBTupFoGORXQd0CUItJckAhXETqp1W+amnYZAW6JpbcNtbyDQYYGqzSPQBeykWgQ6FtF1QJdots+WaFrbcNsbCHSZQJuCEegg+6jWcZUIdD3CEmgTP0SB6mZs1sJgFlNrLGr2US0CHY3oOqBLEGgvSfcC1c2VJAh0BvuoFoGORnQd0CUItJfkNgIdzmJqjUXNLqp1XuSWvYZAW6JpbcNtb7gWaN1QJwUfAq00p0sSgQpiF9Ui0PGIrgO6xI1ABwzR1gUC1cxYr4XhLKbWWNTsoVoPykGga2Ei0I431hKottGeQNshEWgk7KFaBDoR0XVAl6wr0K4oEGi9FoazmFpjUbOHaj3UuGG3IVB1Q0agrX/nCzRBoE7YQ7UIdCKi64AuESFQxX+DKSDQoTUWNXuoFoFORHQd0CVCBNqShTYF1wLtRWk+QaBy2EO1CHQiouuALkGg/U8QqBx2UK2PEhHoWlgJtGOPmAXaXmJNgSq/ja+xqNlBtV5K3K7fghXol/dXrz8ZLxW7QLX5CRJoUTICHSL+av1UiEBn8uHHb/44/XN8dZZvbHdfGi4vTaAae7Samy3QJGCBdnMaX2NRE3+1CHQyouuADccXSZIJ9HhRb24/mO2FuhDo2NavBuvNqhVod2dsnkA7IVuxthNogkAXEn+1CHQyouuANbk3TwLN/z2cn59nu6H3jULsW6D9JDvxEOjGRF+tpwIR6BxuTpvX//mp+PdRNuH4z5NIfzEJsQeB9vKbOOcwLNCRObsTDQU6ls7EGoua6KtFoNMRXQesuSy9ednsd14a7oKuKND+rP09r55Au4fbTgQ6kTAClUPs1fqqD4HO4OvjYnez+jfj81lyz+QsqHiBdpRpJdCBXMYzbTeHQLch9moR6IyIrgNWnMSZX4Kv/k07P88BgY5+ikA3JvZqEeiMiK4DVlSyPF54E2hrGx60h1eB6peXL9DmvwjUntirRaAzIroOWHESZ/I8++GyOYS/SVwewre34UF7IND+RE25AzP2e7Yz28Qai5rYq/VW32YdF5BA0+viLtDsxGd55Shz6iOTEAh09FMEujGxV4tAZ0R0HbDmdLye3H2T5iYtbmP61e1tTO1teNAesgQ6O9Z4pu1JCHQbIq/WX3kIdA432Z3z3/388eM/TyZ9+tuL7FejHVAEOu9TBLoRkVeLQOdEdB1Q4fNZd3Mz8+fqAu1OilygM9rR9Gy37fE1FjVxV+uxOgQ6j+otIiWOXybS3oYH7bGiQHW/hS3QpN+z3bbH11jUxF2tz+q26rnABHriy2/nPz448d1PP7t+nV17Gx60BwLtT0SgToi7WgQ6K6LrgC4JR6DD0RBovERdrdfiEOgq7FOg82NXkxDoNkRdLQKdF9F1QJcg0PHY1SQEug1RV4tA50V0HdAlCHQ8djXJINDsWRHoNDFX67m2jboucIGOPws/a/vUqEC7dAgCtQKByiHmahHozIiuA46xokANlbG6QK1BoHKIuVoEOjOi64BjuH0bU3sbXqYMfwI1TsU8NgLdiJirRaAzI7oOOMqXj3+ZzI5AZ8VAoBsRc7UIdGZE1wFdgkBnxUCgGxFxtd5L26bvEKhGBf2PzJWBQAdmHOvZ8vPRNRY1EVeLQOdGdB3QJaMC7WzDy5QRtkCXLT4641jPlp+PrrGoibhaBDo3ouuAXY4f319dXf3+0fxJ+DUFql8OgSLQMeKt1n9lCHQOH14o29rD16aLI9BZMXwKdOr8wNQai5p4q0WgsyO6Dqhw+6Sztd01eh89Ap0Zw6tAJ5aYWmNRE2+1CHR2RNcBG/I30icPzgu+zX45PDeKEJtAXYBA5RBttSsUhkCnyL4T6aC+QvndWWJ2Hz0CnRcbgW5EtNUi0PkRXQesue7pMlOqu2/l7GzDy5XRXw6BTi4xtcaiJtpqEej8iK4DVhwvyu+FV3D6vfCdbXi5MiaXQ6Ca2SbWWNREWy0CnR/RdcAK3XPvTp+F72zDy5UxuRwC1cw2scaiJtpq1yhsk85DoIPb8HJlTC6HQHXzja+xqIm12lXqQqDjnA7hD927ljiEXw4ClUOs1SJQg4iuA9Zc9myZnRa9bxICgc6KjUA3ItZqEahBRNcBaz6fnQz6Rplwe5H0d0pHQaCzYiPQjYi02nXKQqBTXGfb1+H856uM34o76Y3uYkKg82Ij0I2ItNqVytqi94ISaPr2rLOxHZ6ZBUCgs2Ij0I2ItFoEahLRdUCV4ytVoYenpm9kQqCzQKALcPq2sChYqyoEOofjh6tX5+fnT69eW4zQTQWqj4RAu/ONrzHZuH5bWBQgUKOIrgO6BIHOAoHa4f5tYVGAQI0iug7oEgQ6CwRqhYe3hcXAekVt0H0IdHATXq6MSXYl0LlLTKwxufh4W1gMIFCziK4DusSJQN2BQHUfj68xuV1LgSEAACAASURBVPh4W1gMIFCziK4DugSBzgKBWnC88PC2sBhAoGYRXQd0CQKdBQK1wMvLbmIAgZpFdB3QJQh0FgjUAgQ6wIpFrd9/CHRwEzYWgznmV7DXAYFacPTxtrAIWLMmBOqZ+QI11oINCFT38fgak8ulh7eFRQACNYzoOqBLEKjz5hBohY+3hUUAAjWM6DqgSxCo8+YQaI2Ht4WFz6olIVDPIFDnzSHQBvdvCwsfBGoa0XVAlyBQ580hUAXnbwsLHwRqGtF1QJcgUOfNIdA2bt8WFjzrVoRAPTNboMZWsGKfAp0KOL7Goia+ahGocUTXAV3S3zwHNmHXVhhoyPmMbkCgGxFftQjUOKLrgC4RJlCpINCNiK7alQtCoJ5BoLNAoBsRXbVrF7R6ByJQ/Sbs2gphgUAdMf4s/HT1wYNAzSO6DugSBDoLBOoIBIpAjSO6DugSBDoLBOqI3b+NCYGaR3Qd0CUIdBYI1BVfPv5lMnvg1fZBoOYRXQd0CQKdBQLdiNiqjeGq+NrtiR4CCHQWCHQjYqsWgVpEdB3QJQh0Fgh0I2KrFoFaRHQd0CXzBJogUD/zzgs4usbiJrZqEahFRNcBXTJToGs/OimNTcsfX2NxE1m1G5SDQL2CQGeBQDcismq3KCf4h0dFDwEEOgsEuhGRVYtAbSK6DuiSuQLdOQh0I+KqdpNqEKhPEKh8xteYXL4+1paz4yeREKhVRNcBXYJA5TO+xuSCQLsgUKuIrgO6BIHKZ3yNCeb2ia6c/Qp0m2IQqE8QqHzG15hkjhemX2PcJaRqJ0GgdhFdB3QJApXP+BoTTWbQ50sCBFXtFAjULqLrgAMc31/9bvy9hwhUPuNrTDamr6/rEla1EyBQu4iuAw5gNVYRqHzG15hwbpYdxAdW7TgI1C6i64ADINBIGV9jwjkdxC/ZBQ2s2nEQqF1E1wFrvnxU+XAS6OvTv4teWLu1LKDP+BqTzufz8/9hv3Ro1Y6yUTHrNhuQQH3cZ7eyG2AG42ssbmKqdqtaEOgACHQfjK+xuImpWgRqGdF1wJq3Z0lyOK/421ly+P70708ml+IRqHzG11jcxFQtArWM6Dpgw+1Fktx9U/7CRaRIGV9jcRNTtQjUMqLrgCp/nnY7/178iEBtEV71+BqLm4iq3a6UVVsOTKD588b38p1QBGqL8KrH11jcRFQtArWN6Dpgm+M/k+TwLEWg9sitOs9sfI3FTUTVIlDbiK4Ddvl82gl9+AmBWiO3agQaT7UI1Dai64A9jr+edkJfIlBb5FaNQKOpdsNKEOgk2Q1N358hUDvkVo1Ao6kWgVpHdB1QR3ZDk+E99DkINEGggomn2i0rWbPtQAWa39CEQO2QWzUCjaZaBGod0XXAAW7/YfYQUg4CTRCoYOKpFoFaR3Qd0CUINEGggomnWgRqHdF1QJesIVC5fipJB3/ZGgQaTbUI1Dqi64AuQaAJAhVMNNVuW8iKrQcu0PGbQbXb6OQcTiwgh346CFQs0VSLQO0jug44BgKdBIEGRDTVIlD7iK4DjmH6OBIC7U4RlS0CjaVaBGof0XXAUb7I+04kUUpCoEERS7Ub14FAfYFAu1NEZYtAI6kWgS6I6DqgSxBod4qobBFoJNUi0AURXQd0CQLtThGVLQKNpFoEuiCi64Bdjh/fX11d/f7R+DnOFIH2p4jKFoHGUe3WZSDQQT68ULa3h69NF0eg3SmiskWgcVS7dRkIdIDsG5Fa3P3FLAAC7U4RlS0CjaParctAoHpuzrIN7EH5xfDfZr8cnhtFQKDdKaKyRaBxVLt5GeslEJJAvz7OvspDmfDO+J2gCLQ7RVS2CDSOajcvA4HquO7pMlPqI5MQCLQ7RVS2CDSKarevAoFqOF4kSfeA/SZJ7plcjUeg3SmiskWgUVS7fRUIVIPuuXfJz8ILURMCDYg4qt2+CgSqAYFa0U8HgYoljmoFVLFaCgEJ9HQIf+jetST5EF6Imso0UgQaAHFUK6AKBKrhsmfL7LTofZMQCDRBoIKJo1oBVSBQDZ/PTgZ9o0zIvh2+t1M6SrwCHWwNgQZEHNUKqAKB6rjOtq/D+c9XGb8Vd9Ib3cWEQHuzIlBJxFGtgCoQqJa3Z50t7vDMLECsAh0pBYEGRBTVSigCgeo5vlIVenhq+kYmBJogUMFEUa2IItZKIjCBnjh+uHp1fn7+9Oq1xfvsEGiCQAUTRbUiikCgXkCgCQIVTBTViigCgXoBgSYIVDAxVCujBgTqBQSaIFDBxFCtjBoQqBcQaIJABRNDtTJqQKBeCFOg05FGShEu0H4y42ssbmKoVkgNK6WBQN0roVKWu4gz2kSgMRBDtUJqQKA+QKDdcAhUEhFUK6UEBOoDBNoNh0AlEUG1UkpAoD5AoN1wCFQSEVQrpQQE6gME2g2HQCURQbVSSkCgPkCg3XAIVBLhVyumAgTqAwTaDYdAJRF+tWIqQKA+QKDdcAhUEuFXK6YCBOoDBNoNh0AlEX61YipAoD5AoN1wCFQS4VcrpgIE6gME2g3nugtM4yFQlfCrlVPBOpkgUOeEI9B0VmwzEOgSwq9WTgUI1AMINEGgggm/WjkVIFAPOBHoxFII1Hp+BBp8tXIqQKAeQKAJAhVM+NXKqQCBegCBJghUMMFXK6mAVXJBoOabPwIdy2TJ/Ag09GolFYBA3YNAEwQqmOCrlVQAAnWPbIEOLYFA90Lw1UoqAIG6B4EmPgSaan80XRSBBl+tqPwRqHsQaIJABRN6taLyR6DuQaAJAhVM6NXKyn+NbBDo8OY8a5svJ6X9nxGowaJp89/xNRY3oVcrK38E6pz5Ah0RAQIdaKPzo8miCDQn9Gpl5Y9AnbOlQGdo0HC62iYCjYHAqxWWPgJ1DgJNEKhgAq9WWPoI1DkjAk3bm/9WAtXNFalA1R5HoDmBVyssfQTqnL0LNG01gUClEXi1wtJHoM5ZUaA9pfkTaLcU3cIINAQCr1ZY+gjUOesJNEWgs5ZCoCqBVyssfQTqHASaIFDBBF6tsPQRaI/jqx8ffP/vn+rfvz5OvvnDYHkEmiBQwQRerbD0EWiXP8/y7ezwtFIoAi3bQqBREHi1wtJHoB2u623vXmlQBFq2hUCjIOxqxWW/QkIhCfTzaf/z7suPH3/N/i20iUDLthBoFIRdrbjsEWiL62rP8/ZJZVAEWraFQKMg7GrFZY9AVY4XSfK8+TF3KQIt20r77bUX3kSg48ERaI+wqxWXPQJVUWWZGfR+GqJAx5ziWqAtQ20g0OHd4n56ypTRNRY3YVcrLnsEqtKS5emX5BECrVrsFqMst5JA0+ZHJa+ppRBom6CrlZc8AlVpy/LzWXL4xb1A01T/a2/D70wyFahWLQi0WGpsjcVN0NUKTN5/SgEJNDtsf978epMk37xBoGVbqS5VBBoaQVcrMHkEqnJdnPdUfv3m/9tSoD1pqj/3F5Um0DQdas8YBOqIoKsVmDwCVcnuA334V/P7Zb7RbSbQvjTVn/uLtgU6FBiBjq+xuAm6WoHJI9AW2ZNIqi9/TRIEmngSqIlZEagjQq5WYu4ItM3bs7YvT7+vI9CWCRCoZl4E6oKQqxWZu/ekwhJoenz306fW77+e7Vigda69YpTPEWhAhFytyNwRqFu2FmgTcLZA02GXORDosOMQ6AaEXK3I3BGoWxCoOgWBSiPkakXmjkDdgkDVKX2BKr8i0A0IuFqZqSNQtyDQJmKKQMURcLUyU0eg44w/iaTdaofmmC1QnQMNBVo0rXOljUAHy0WgoRFwtUJT950WAm1vzusJVJMfAi2Waq8hB8MkGAKuVmjqCHSUtZ6FR6CjuBFou3MG1ljcBFyt0NQR6DhfPv41PVPDDIGm7V+HtaATaJokFgJV5YNAx9dY3ARcrdDUEahTEGgTMZ0v0AkTIlBXBFyt0NQRqFMQaBMxRaDiCLhaoakjUKeEJNAmpAOBpmEIVLeGvAwEoQRcrdDUEWiP48f3V1dXv3/8ND1rDwTaREw3F2iaJgi0RbjVSs0cgbb58ELZAh++Nl08KoE2ifSKUWuo5qkXQaBiCbdaqZkjUJXsC+Fb3P3FLAACbSKmHYGmyucDJQ+BQB0RbrVSM0egCjdn2bb24Lzg2+yXw/PpxRRkCbQrHQSKQLfOwBapmSPQhuyrjA8vlQnvTN+njEARqGjCrVZq5gi04bqny/Lb4eeDQJuI6QyBptXS+gyURV0JdGqNxU2w1cpN3HNmAQn0eNH6WuOcmyS5Z3I1HoE2EdNlAu30HQJ1QbDVyk0cgVbonnv38Cw8AkWgmxFstXITR6AVCLQnoFpE3WK62SDQMAi2WrmJI9CK40Vy6N61FMkhfOWpVkvSBaqWj0DdEGq1gvNGoDWXPVuenJrcNwmxRKCN7jQGQaDtrAcXa32MQDuEWq3gvBFozeezk0HfKBNuL5L+TukowgTaGLDXyrYCrRpFoOsSarWS8/abW0gCze5jOhnz/OerjN+KO+mN7mIKUKCKZPoCqhfvFtPNxlig6vyjAk2TJmKTdTvBAVIE2iXUaiXnjUAb3p51tsHDM7MAfYGmrS2/mKb+qmzfHS0MCzRVF23maaYq7avNRCtQvUlTBNol1Gol541AFY6vVIUenpq+kcmDQNPWtHqhtCeNoAWqCY5A3RNotaLTRqBtjh+uXp2fnz+9em3xPrugBJpWSkOgeyHQakWnjUAdsrFAq/BK+2ozCHR6jcVNoNWKThuBOgSBJpXuOuUPCXSgmDoxRaBpO38Eak6g1cpO22t2CHRTgaatZlYUaK98C4GmdW4I1BGBVis7bQTqDgTaJNIuH4FKINBqZaeNQN2hE2hbhE4EmgYi0NZS1gJt/k0SBLqIQKuVnTYCdQcCbRLpLjVboHVEBOqaQKuVnTYCdcdOBaq01CTSXQqBbk+g1cpOG4G6A4E2iXSXQqDbE2a10rP2mR8CTRFod24EuhVhVis9awTqDATaJNJdqm4NgW5GmNVKzxqBOmOpQGslNf+aCrSThNqMhUBV8fRnqDJTWlITaS/VhBoVaJ1sOScCdUiY1UrPGoE6A4GqibSXWlWgdVQEqhJkteKTRqDOQKBqIu2lEOj2BFmt+KQRqDPMBVqKRP0/AlX6BoG6JMhqxSeNQJ2hF2iz5Zc/q78iUAS6GkFWKz5pBOoMBKom0l4KgW5PiNXKzxmBOgOBqom0l0Kg2xNitfJzRqDOWCjQWmmKFcQLNFXrQKCiCbFa+TkjUGcsEmg1YxACVT5EoMEQYrXyc0agzlhZoC1vOBRopTAEGhkhVhtAzh5TRKDlvx4Emra9sZpA086HCDQYQqw2gJwRqCsMBNoWT2OMWmxeBNozFQIdW5+xEWK1AeSMQF0RiEBb7UgWaDUzAnVDiNUGkDMCdQUCtRFoezYE6o8Qqw0gZwTqiuAFmqr/XUeg3dkQqD8CrDaElBGoKwIXaKtNRwJtLaYmiEDXJ8Bqg0jZX5IItPwXgXYF2nbapEDVbhwSaK8xBNomwGqDSBmBOgKBbibQNFUmIFA9AVYbRMoI1BEIFIFKJrxqw8gYgToCgY4KtN0rCNSe4/ur3/8yXyy8asPIGIE6AoEiUG98+Vgp892TvKjDD58MQwRUbUkYGSNQRyDQjQRazRmxQL8+Tr75I/vh+GvdA4fnZjHCqbYikIy9pYlAy3+XCrQ9HwLdsUAvM3N+f37+Y1aYmUHDqbYklIQRqBsQ6BKBqsm2uxCBNgK9OZVSHLvfXiSlU+cSTrUloSSMQN2AQB0JtNOFtgJtujsegZ52QO+Xk44ngz4yiRFOtSWhJIxAG44f319dXf3+0fQEfQYCRaC+KAWaSbM+bj/tjd4zGafhVFsQTL4ItOTDC2UDffjadPGhchEoAl1KKdD6VKgybTbhVFsQTL4INOf2SdLm7i9mARAoAvUFAhUMAs24Ocu2tQfnBd9mvxjeJ4JA+wJNm8XavYRAjWjOgR7qP+ufzxCoCBBomo/Q5PBSmfDuzNVVzrYINeJRNvf6vwi0nhmBFgLNzHmjXDjiHKgQEOiJ654uM6U6uco5JtDWUoIEqqbaagyBbkI2GJPkzr+8/td6F9TZ+JRKMPki0M7lzRJXf+FdC1SZHYHuSqAF+R/645/OjpCkEky+CFR/Qt7VSXoEikCXc/zw6sezRqD5KSezq5whVZsRTL4IdD2BpmlbPCsLtLLm+gLt9pIbgaqqjFygOblFK4HefWO2cGDVBpSur1QDEujxov/33MchfOpQoC2dBC3QtNUsAp3B8X8a6jO4agNKF4Hmz8h1bHlyav3Y3CwQ6AKBqsl2Zkagbgis2oDSRaD5TXXJPfWPevayBrOTTGELtNfmmgJtJzvejQjUkrCqDSlbBJrm9zGdjHn+81XGb8Wd9EZ3iXgVaGWIbuAYBarvRVWgtS8RqAFhVRtStgg04+1Z0ubwzCwAAkWgkgmr2pCyRaA5x1eqQg9PXX1lglaguqV8CFQNVU3Zk0Dbc/VCDrQVBON3iSQaVkxuMUFl6ynZwASaZreJXL06Pz9/evXa4n12PgTafG4n0GY+BKoLOdBWEEQt0KCSRaBOQKAIdE2ifhtTUMkiUCcgUAS6Ks03dc4iqGqDShaBOgGBGglU000I1CchVRtSrikCdQMCNRCotpsQqE9CqjakXFMEqsfVSXoEikAlEFK1IeWa4SdfBFrN6U+gqQOB1tltKtB2QP3Huxeoyy89lExIuWYgUA1e38akW8pSoJUG+0nELlClM/cgUE9feiiRkHLNQKA6HF3lFCHQND6BNsvU3ROzQL196aFEQso1A4E6QLJAq1/kC3SQnQvU35ceCiSgVAsQqAO2E2hntm5sBBq+QD1+6aFAAkq1AIE6AIEiUG94/NJDgQSUaomXjAMUqI+rnAIEWv/Xt0C1OSLQxRwv/H3poTzCybQGgabernJuLlDll+UCrTNBoCvi8zu75BFOpjUI1N9VTgSKQJeCQIWDQP1d5USgCHQpR49feiiOYBJV2L1APV7lRKAIdDGX/r70UBzBJKqwe4F6vMqJQN0LtLdM7AL1+KWH4ggmUYW9CzT7c+7rKicCRaDL8felh+IIJlGFvQvU50l6BIpAHeDtSw/FEUyiCgg0RoH204tNoJ3uiVmg3r70UBzBJKqwd4EePV7lHBdoZ0Y5Am2nikAl4OVLD6URSp4t9i5Qn1c5vQm08l/amW0kPQTa65LdEEq1oeTZYvcC9XiVc7ZAFcdtK1A18+ZHBBo2oVQbSp5tfGQdkkA9XuUMQqBValEKdKjRMDdVWwKpNpA0u+xeoP6ucoYg0Do1BBotgVQbSJpdEKi3q5ydg0hDgaqf+RZolasmVQQaPGFUG0aWfRBohpernAIFmio/rizQYVwKtPkUgVaEUW0YWfZBoIvZVKBTSbSD13n0BZqm2lSlCDSdI1D1UwRaEUa1YWSpwUPiCLScLlSgdYD2Qgg0ToKoNogktSDQpSBQBCqZIKoNIkktCHQpIQi0Zcc6AALdA0FUG0SSWhDoUhAoApVMENUGkaQWBLoUBIpAJRNEtUEkqQWBLgWBbi/QThQEqhBCtSHkOIQH3SHQYvreBTqUUjdBBOqTEKoNIcchEOhCthHozCQQqDbkvMziIIBqA0hxGAS6kJkCnXKcItDuZwgUgdoTQLUBpDgMAl2Ia4H2P3Mg0F5j4wJVJiLQwJFfrfwMx0CgC3ErUN1nCBSB2iO/WvkZjoFAF4JAEahk5FcrP8NRnKePQMvpEQtU+RiBykZ8teITnACBLkO4QAcaQ6B7QXy14hOcAIEuA4EiUMmIr1Z8ghMg0GUsF2g9+0D0TQVaWXJIoPocEagYxFcrPsEJEOgyECgClYz0aqXnNwkCXQYCRaCSkV6t9PwmQaDLQKAIVDLCqxWe3gwQ6DIQKAKVjPBqhac3AwS6DASKQCUju1rZ2c0CgS4Dga4j0H4VTX4IdBjZ1crObhYIdBkIdAOBdvJDoMPIrlZ2dvNwXQMCLacj0HkJIVCfyK5WdnbzQKCLQKAIVDKiqxWd3FwQ6CIQKAKVjOhqRSc3FwS6CATqXaDpqAsR6CiSq5Wc23wQ6CIQKAKVjORqJedmgOMyEGg5PS6BpmljpnbSCFQygqsVnJoRCHQJCBSBSkZwtYJTMwKBLgGBIlDJyK1WbmaGINAlIFAEKhm51crNzBAEugQEikAlI7dauZmZ4rYSBFpOR6DzEkKgPpFbrdzMTEGgC0CgCFQyYqsVm5g5CHQBzgQ6OBmB2gh0fKH9ILZasYmZg0AXgEARqGSkVis1LxsQ6AKGBdrerMMRaK95BBowUquVmpcNCHQBY+Ui0DkJIVCfCK1WaFp2INAFIFAEKhmh1QpNyw4EuoBwBTojxKRAB3JEoGKQWa3MrGxBoAvYs0AHc0SgYpBZrcysbEGgC4hFoCPN2wl0dkII1Ccyq5WZlTVOy0Ggyme7FejcfBCoZ2RWKzMraxCoPQhUEwqBikFktSKTWgACtUeEQOeDQKPbescRWa3IpBaAQO3ZQKBLQKDRbb3jSKxWYk6LQKD2BCbQKioC3QkSq5WY0zJcVoRAlc8Q6HQTCNQnAqsVmNJSEKg1CBSBSkZgtQJTWgoCtQaBIlDJCKxWYEpLQaDWIFAEKhl51crLaDkI1BoEikAlI69aeRk5wGFRCFT5DIFON4FAfSKuWnEJOQGBziPRMDq38vNE4MHJCNRcoGNZxLkFDyGuWnEJOQGBzgOBItCwkFattHwcgUBtQaAIVDLSqpWWjyMQqC0IFIFKRli1wtJxh7vCEKjyGQKdbgKB+kRYtcLScQcCtQSBIlDJCKtWWDruQKCWIFAEKhlh1QpLxx0I1JKoBVrM7FmgU62PzIVAJ5FVraxsXIJALYleoEoC+uWWCXSy7bFQCHQSUdVOHG6EDAK1BIEiUMmIqlZUMm5BoJYg0LElFoNAFyKpWkm5uAaBWuJIoCPREehoOwh0FEnVSsrFNQjUEgQ6tsRiEOhCBFUrKBUPOKsOgSqfRSFQ8+UQqBgEVSsoFQ8gUDsQqH5GRyDQhQiqVlAqHkCgdowLdN584xEQ6Gg7CHQUQdUKSsUDCNSOueUiUCsQ6ELkVCsnEz+4qg+BLpqvvxQCHW0HgY4iptqIb6IvQKBWIFD9jI6YLVBN6wg0FVStmER8gUCtQKD6GR0xU6Da1hFoKqdaKXn4A4FagUD1MzoCgS5ESrVS8vCIoxIR6KL5+ksh0NF2EOgoUqqVkodHEKgNCFQ/oyMQ6EKEVBv9JaQUgdqBQPUzOgKBLkRItULS8AoCtQGBegWBLkRGtTKy8I2bKhHoovn6S4kS6Nog0IWIqHYPB/ApArUCgXoFgS5ERLUikvAPArUAgXoFgS5EQrUSclgDBGoBAvUKAl2IhGol5LAGCNQCBOoVBLoQCdVKyGENEKgFCNQrCHQhAqoVkMI6IFALAhXoqsstAIEuZPtqd3IJPkWgViBQr0wLtJ8VAlXYvtrtM1gNJ6UiUMfR5QxABBoem1e7eQIrgkDNQaCem0Sgi9i62v0cwKcI1AYE6rlJBLqIravduv1VQaDmIFDPTSLQRWxc7a52QN30NgJ1HF3OEESg4bG5QDdtfm0QqDEI1HOTCHQR21a7r75GoBYgUM9NItBFbFrtzg7gUyfdjUAdR5czCBFoeGws0A0b3wQEagoC9dwkAl3EltXubwcUgRqDQD03OdkmAh1jw2p36E8EagwC9dwkAl3EdtXu0Z8I1BgE6rlJBLqIzardpT8RqDEI1HOTCHQRGwp0o4Y3BYGagkA9N4lAF4FA12V52QjUcXQ5IxGBhsdW1e6rlxsQqCEI1HOT9gKdO3/UbFTtPs+ApgjUGATquUkEuohtqt2tPx10OAJ1HF3OWESg4bFJtTv2JwI1BIF6bhKBLmKLavfszz0L9Pj+6vdPpgv5HytyRiMCDY9t1tmuurjD0uLDFejXx8k3f5guhEA9N4lAF7F+tfvWJwI1BIF6bhKBLmILga7doiz2JNAvH1U+nAT6+vTvXyYhEKjnJhHoIlavdu87oIu7PCCBnnY5dRjthiJQz00i0EWsXS3+RKAIdAAEGh4rV4s/9yTQ9O1ZkhzOK/52lhy+P/37k8mleATquUkEuoh1q8Wf6a4Emt5eJMndN+UvXESaAIGGx9oCXbM1oexJoGn652m38+/Fjwh0AgQaHqtWyw5oxr4Emt4+SZJ7+U4oAp0AgYbHmtXiz4Jl3RCaQNPjP5Pk8CxFoJMg0PBYsVr8WbIzgabp59NO6MNPCHQKBBoe61WLP2sW9USAAk2Pv552Ql8i0AkQaHisKdC1WhLP7gRa3ND0/RkCHQWBhsdq1bID2rBDgeY3NBneQ5+DQD03iUAXsVa1+FNlSWcEKtD8hiYEOgoCDY+VqsWfLXYp0PT2H2YPIeUgUM9NItBFrFMt/uywoD/CFagVCNRzkwh0EWsJdI1WAgKBzgWBem4SgS5ilWrZAe2CQOeCQD03iUAXsUa1+LPHfgVqejMoAvXcpLlAHc8fNitUiz812PcJAnWMnOGJQMNjFYF6byI8EOhMEKjnJhHoIrxXu/Pv4BzEulcCF2j6he9EGgKBhofvavHnALsVqCEI1HOTCHQRnqtFn4PY9gwCDa6FuSDQ8PAuUK/hQwaBatB9B53/Nn23MBcEGh5+q2UHdJgdCfT48f3V1dXvH6ef40SgqzeJQBfhtVr8OYJt54Qm0A8vFBk+fG26OAL13CQCXYTPavHnKLsQaPaNSC3u/mIWYE8C3QAEuhCP1eLPCez6JyiB3pxl0nxQfjH8t9kvh+dGERCoVxBoanKKqY+/avHnFHY9FJJAvz7OvspDmfDO+J2gCNQrCFToKSbu/5xB9AK97ukyU+ojkxAI1CseNtOg+lPqKSb0OQubXgpIoMeLJOkesN8kyT2TQyUE6pWdC1TqKSb2P+cRuUB1z73zLLwo9i1QqaeY0OdMbDoKgTpmhth3AAAAFalJREFU14N13wKVeYqJ3c/5xC3Q0yH8oXtKiUN4UexaoDJPMeFPE8z7KiCBppe90ZiN2fsmIRCoV3YtUIFHSKs8excT5t0VkkA/n50M+kaZkH07fG+ndBQE6hUEOmPaGE6rRZ/mGPdYSALNTjKdjHn+81XGb8VlTqNTTAjUL7sWqKxTTOu8+SE+ohZo+vasc5/d4ZlZAATqlV0LVNApppVenBMjpt0WlkDT4ytVoYenpo/LIVCv7FugQk4xYc9FGPZdYAI9cfxw9er8/Pzp1WuLh40ZV17Zt0AFnGJCnsuJXaCLYGx5ZecC3fYUU4I93WDUhwgU3LF3gW53igl5OsSkJ0MV6NcfH3xn9JBcAUPMK7sXaLrJKSbs6RiD3gxWoIY32JUwyryCQBdi9Sxh489i8dYvVdjif8UqKv9fLVb8v/o12QNlFyjFanrV1xqbiug6oBYEKpG5o84opOuIkjG+h6be+hGoCZMCnf0UAgIFd8wbc4YhXUeUjEG1nU0fgZowLdC5jyIgUHDHjAFnHtJ1RMnMqbYlgvaSCHQmcwTa+xtlvcbMQKD7ZXysWYZ0HXFNxoepdtOeMY9uTgRqwjyB6rtf0+9OQaD7xUP3hr3GjAX6v2zJFy2WL+MowU4/Fv/LP6z+X7VY/L/61YmgpFN2gVKsdcf/L9djBoGCQ8JeY/Je+A1uYQ8URBP4Gvvy8S+T2QOvdoeEKlBLGKChsa81tq9qYwCBgmj2tcb2VW0MIFAQzb7W2L6qjQEECqIJb40dP76/urr6/aPFo/ABVrt3ECiIJrA19uGFcrPMw9emiwdWLSBQkE1Qa+z2Sed+w7tG76MPrFpIESgIJ6Q1dpO/DPTBeUH+QvpD95vixwmpWshAoCCagNbY18cnYb5UJrw7CdXsbuWAqoUcBAqiCWiNXfd0mSnV6EuRAqoWchAoiCacNXa8SJLuAft23wsP64BAQTThrDHd08U8Cx87CBREE84aQ6B7BIGCaMJZY6dD+EP3riUO4WMHgYJoAlpjlz1bZqdF75uECKhayEGgIJqA1tjns5NB3ygTbk/+7O2UjhJQtZCDQEE0Ia2x6/zW+fOfrzJ+K+6kN7qLKahqIQOBgmiCWmNvzzqPch6emQUIqlpIESgIJ6w1dnylKvTw1PSNTGFVCwgUhBPcGjt+uHp1fn7+9Oq1xfvsgqt29+xOoBAaW4+ZNdm6r8Ec52PAdUCXbN3ZYM7WY2ZNtu5rMMf5GHAdUAzetuXwAoeYcpSs3F1RNydk6MnIwgfhSQOBxk7URkOgcRGeNBBo7ERtNAQaF+FJA4HGTtRGQ6BxEZ40EGjsRG00BBoX4UkDgcZO1EZDoHERnjQQaOxEbTQEGhfhSQOBxk7URkOgcRGeNBBo7ERtNAQaF+FJA4HGTtRGQ6BxEZ40EGjsRG00BBoX4UkDgcZO1EZDoHERnjQQaOxEbTQEGhfhSQOBxk7URkOgcRGeNBBo7ERtNAQaF+FJA4HGTtRGQ6BxEZ40EGjsRG00BBoX4UkDgcZO1EZDoHERnjQQaOxEbTQECgAABiBQAABLECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCUIFADAEgQKAGAJAgUAsASBAgBYgkABACxBoAAAliBQAABLECgAgCWBCvTr42/+MFvi9sVZkhwevql+P14kNc9dp9fh3Y+nRu48/WS21IYZ2za1ZSeLpdspNa57Z7Ch0Y/cN+dtrQ9s9T6Km02YAj2tIkOBvj0rVujh7+WEr4/X2rbr8XQwamfDjG2b2jJlsfQ6pcZx7ww3NPaRh+Z8rfWBrd5HcfMJUqDHy8RQoDe9VapM8bttW/493jBj26Y2TVkq/U7RfeSgd+Y15GwtrFZXzcBW76M4A0IUaK4kI4FmfxPvnnbxPzypF7xeq79PDR2yo/f/PLV9b/ZR/JYZWza1bcpC0XRKjdPeGWloLAcPzXla6wNbvY/iTAhQoO/yXfaJzjp1t2Kr68pd2Vp4lE+6XKm7Ty0efsl/Oq3q8qehGWVkPL8pSSkLRdMpNU57Z6ShsRw8NOdnrQ9t9T6KMyE4gd6e/tIkD58YCbSRWPr5rJje3vY9cmrwfvnj+F9mMRnPb0pQykLRdIr6mbveGWloLAcPzXlZ64NbvY/ijAhOoNkR8bP26eTj2wen7v3uZWfUNL152verfqk6/DTpfroyl7VAhWesa0p4ykLRdIr6mbveGWloLAcPzXlZ65qtfjqRVQhPoIcfPrWvx30ur8Llp0IqWtv2TdKs0tJip0nPb3/MlbBS4tm6LpOWnrGmKekpC0XTKepn7npnpKGxHDw052Wt97f6GYmsQnAC/VIeG9ZdWW/arTMk3W27PjtSHkdfJ4e/lUs9XGW///jqrFq/4jPuNyU+ZaFoOiVtfnfYOyMNjeXgoTkva7231c9JZBWCE2iO0pX5VbiX2SHmmfLHqL1tqz1b9vilcqvFCmdO8uYOzwLJuNeU/JSFoumUGqe9M9LQWA4emvO31nUC9VGcEcEL9KZeS+VVbvUutMxav+h6Obtkl99cdPsiWaPb80F159mnIDLuNyU+ZamMbN9ue0eOQP2tdQTqDKUrL5szx0UHztq2lVuKrle4f+z4fz/48az6gyw+435T4lOWysj27bZ35AjU31pHoM5oulK5ClfeMTRr227HWufUSXYrxv2gMq6aCiplUczbvh30jhyBKjhe6wjUGS2BqtTb+dTpOYXrtfq9+NscUsZlU2GlvDV1b51W9szte3nviBSo47WOQJ3RdKVyeXh42x6/VLdev+fjKaiMi6bCSnlrVIHOvEi8vHcEXYUfmG05XIV3Rkug2it9U7coKqy3bVc2CifjEFPemo5A59ym6ESgUu4Dbc/mX6DcB2pO6xBee5566iEZhfX+cN2Ux8PhZFw0FVbKkpj5oMzy3hH0JJKC27XOk0jOaLpy6Dz1xGPaysmZiXd8LEU9DZT/iRSfcb8p+SlLZeRRbbe9I+dZeH9rXSdQnoW3QunK7FaJN/WPj5Q5xl4UdOrsysCXidcHtk8tde7qkJ6xpinxKYtl+GVBjntHzNuY/K11nUB5G5MVnSeRDtkd6l9+TQb/3uVP0rxWXhqY3+2bLZVN8bpvVLdU31csPWNNU+JTFkuvU2oc985wQ2MfeWjO31rXCtRHcSYEL9DWLYmDf4F6r61WLyz7/bt1q9wDdD+IjDVNiU9ZLL1OqY9rHffOcEPrvJHeV10N6lbvtzgDwhdoenM2Y3X92f3ilM9Pks4UX9xWLSU/fAojY01T4lMWS7dTmk3fce8MN9RfMV6b87XW9QL1Utx8IhBoenyVvaryztO/xhbpfXXfsfyuzNGl3FC0pLYtPeN+U+JTFkunU5RN33HvDDe0xrdy+qurYkCgfCsnAECQIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIECAFiCQAEALEGgAACWIFAAAEsQKACAJQgUAMASBAoAYAkCBQCwBIHa8fVxcu9T8ePtS5sAxVLHi+SbP9xlBStwnbTW2U2SPDIN8fVxE+E0BGqel9NuX5wlyeHhm2aJ/pSR9CoePP3LNLO0NbQ19EZsM3s9pA+/WDSbjhbZ/+j49kFW4rM61eOrbMIddZ4P2oBq7y8GgdpRD5vjr+bbT7MUAg2PzFD3m18tBNpa66eR1BXo27Pi18Pfq5n6U0bTqzk8M0wttRaoMqQtBTpSZP+jz+WU5O4f7VmS5Icq1V+rKa0V5HabQ6B21KPMZgekWQqBhse1uq9oMwCOl+o+7I3iu+fdKc978zzXhuymZzB/D0uBKkPaTqAjRfY/qv2ZNNthTfnn7bKZoqyhdu8vBoHa4UigEB65oVoCNFuV+TF7s/x11xfZLund01HnhyfVbP0p4+mV8Y7vniRjLhxgXKCDsy8V6EiR+h7J9q6Pr86KZvNZXqfFPEX7mWOzo/fbi0TJqNP7i0GgdiDQ3XKt7uWYr8p3Z20BX3Y35+vKetm2/kg/ZTy9WsinUWous40EOlKktkfKXrspPrup10g2z/1ynmZXtArY7f3FIFA7EOhuOW2Y3581ljJblbenHaTk4ZNmEz5t721dKQI67UNln/WnTKTX7NFeWhzDbyPQkSJHe6T8USm0Wvyynqe2a6/3l4NA7SiHTXXmJV95xXXB716WK//yNMe7b08TsouAX/JLhIfv8guVzVLNGaXjux+VhfPpx1ffqtcQi/B3rK6sgjtOhnqkXInvClQ9GZckXZlcZ4ee6nnE00C635pD8Vcph/6UifRUgVaztwagdnylty9Ov/7wqWiuXrLZi81TbXJvzd4a0qf5336rufw91jUjRfY/Ojmy3Wm6DtQItNf7y0GgdmgE2lwXLMbNSaBvq3HSnNlvL1WvzPxvY7NwNv3/PVOCq6fN2XfdlEyg9XGisUBPymldiDnN/vy2+NtZT6jlUOxX9adMpKcewpfqaQ9A3fiqZrn3X/lC11VZN4nykzJi27O3Bfof5fWbQzvXsa4ZKVLbI8MbQVV06xC+iNfr/eUgUDv6AlWuCxbr5zK5k0+6374y+kgnUOVelvx39ebAYqBp7naBTcjV8rk+iDcT6JdKX3/U0Q5/K2d92DsndN3TRe+Sky495SJS2XxnAGrGVzPL/5YP7Xonr7lrKz9bW+Xemb0t0G/bW8Kcrhkpsv9R/t/81tA7/fu0Kt9mW0x+EelFfSmt1/vLQaB29M6B5pcBX2YH2mflCsz+Ct97U332Q3bk/aG6LNq9jek07+Hpp+Ki4v20HOCHZ5+Ke9myWa/Lq4zZNUXzK6vgjmLfrD6IX3gfqHKvTb3jVNvjpmqqM2UivYbyYKg3APvjq7rSnd9Oea/ZT8vnzBMrhnw5vTt7a0iXof+ZGHTNSJH9j7Kj86rOux0ZNqcc6qO69jwIVAI9gd7UXqvW4GU9pTkGOf1dz1deR6CnyeVKL3/KRmG5lssjkfowhFtHN6YQaH1BeJlAszDZn858P6n6S+lOoOWN9L0B2B9f9ZXubN86++m6PvI5L346ffCozr03e0ug37xRQ8/CVKB/q2tsbw3ZbZ5Vo7cX6q59PQcCFUBPoM0p62rSpWasnxbTCVQZaZftzbO+qHhd7c7CxpRnB6s/essEqtxoVO7TOhVoz2DlAOyNL+XCTenGwpenBrOTpc/TyqhF7v3ZWwJtD91ZmAi0OAGRHZ5/+bVTonqbfNMTrQeyEKgEugJV7/0oTx/1zvd/ef+Ps0Qr0PZNGPd1d27k548O3/87R+9bU11eua6vCC56lFOdWp/fK7EUaHUO9EO1V1vSDMDe+Kr+stcTqhF9nV8mul/fb1Xk3p9ddxuTV4E+qico51LzHfrG7Pl5i1yyypaIQCWgEahK9pmyT5rdpFRdY9IIVL1vo7dD0NzWVv415T6mbblu72qZXURKyyV1m/D1gC5tBZoqZ2o7A1An0Mp1zW1AxdB8lN+QV+2R1gLtzj5DoGNdY3gI3wRW91NunzRRsy2yerdA6zgfgUqgK1DlGrxGoOqneoGq9wXqBZpfYCrgPqYtqW/wKQ7i3Qn0pifkZVfh08Yi3QHYG1+K6xQjPs9+eV4cvN8USxS562dfIlCjq/Dq2THl0+yKVn29aPC+KAQqAY1Au0crl60/hkly57uffv4v7TnQWXugJ969wKDbUwu0OIj3IFBn94FWpwV6A3DOHujp30fZKdBcl8+L3VB/e6BG94FeawWaH7PX7an9oM6PQEWgOYTvrpVL9WxMcz/JxDnQYrQMjsIvv71IuI9pU5qtMT+Id3YOtNzknT6J1JxXbQ/AGedAi5Oel+WH96snpnydAzV6EklVar06fm3vWQyeE0CgEugKtBypKrVAlQFxo7+IpLsK3x6F7Qu33Me0IcruTHYQ/2+LBKoEKy/I9wVkpqTuIfxp0f4A1I0v5Ymkoo3Tkft/XJQ3lGQP1T1vctfMvlCgI4v1P6ruBkzTZufjeu4uLQKVQO82puv67rdqo9AI9PaxXqC6+0A7Y6Y57YNAt0U9Hry2OqOibMKNCuobGB2+jam8iNQfgP3xVbeRHe7Xt3j+S30H09+qq1Gd+0Dr2RcK1OxtTFlfFZHfNlvUN63b/JpnxfpX6hHo5qgCrc4Y5c9f5HdNlDfSV2vtsjiCKi4DVTcPKmeU2k8i6Xc6svNH9cMks29PBveoAi1OLi69kT4bNs17LKtXW3beB/ra+H2gzc35vQHYH19VG+/qR4uKu4Xy9vJrUPfV3PuzK0PaSqAjRfY/yhLKpnxRHqTqntu4TJTbmJQtBoFKoBZocX3zefsMeefW+tbJ8+qpjmTiWfih25iSGRsReKR1ReJmoUBb18ebWxsrlr+Rvto9aw9Azfiq5/k/6lOOl4myd9B5EK43uzKkrQTaL7KRYr9+pcrqAdjuNqbeWag+y4lAJdB8J9JFNfRvOrcZKbcxVV/Ocnh6UQyBaql6ZfbfxtS7jemiHg2W39kFTmgJNJfMootIn6s133zfz5+9bwDqTxlLT6E0R3cA6ixXfqlQ+XqljOZFTJf1X+069+7sypC2E2ivSGWvcrhHiuc0m42jEagysXtKFYFuTnNl8JgdJ+XfY1V+LWB1o7t6I33+ss87Tz/Vp7bLpZqVWb0PtJhfOwrz7xhs3jcK29AWaLafs+wq/LEcHMrzEY6+lfPOw9fV1M4A1I6vrI36BZ9Vbc+roM0L3+v3gbZnb4a0pUC7RaqH5f36v+RvM/3udZ1pT6CnLebHfKnXqQoCBQAQAQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgCQIFALAEgQIAWIJAAQAsQaAAAJYgUAAASxAoAIAlCBQAwBIECgBgyf8PY4684YGDXZoAAAAASUVORK5CYII=" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300   -0.003502700
## Lag 1500  -0.020395959
## Lag 3000   0.007279384
## Lag 15000  0.016869342</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300   -0.029981898
## Lag 1500  -0.008298605
## Lag 3000   0.043034194
## Lag 15000 -0.030097691</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300   -0.029025896
## Lag 1500  -0.007446382
## Lag 3000   0.006709160
## Lag 15000 -0.031666406</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                    [,1]
## Lag 0      1.000000e+00
## Lag 300    4.129018e-02
## Lag 1500   4.210069e-02
## Lag 3000  -2.185067e-02
## Lag 15000  8.973297e-05</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300    0.006661345
## Lag 1500  -0.051344539
## Lag 3000   0.004967946
## Lag 15000  0.029717637</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300    0.02425076
## Lag 1500   0.03516472
## Lag 3000   0.02323675
## Lag 15000 -0.02596313</code></pre>
<p><img role="img" 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" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0     1.000000000
## Lag 300   0.036514392
## Lag 1500  0.018571458
## Lag 3000  0.031887702
## Lag 15000 0.006919646</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                  [,1]
## Lag 0      1.00000000
## Lag 300    0.01190955
## Lag 1500   0.02427651
## Lag 3000  -0.02288507
## Lag 15000 -0.01970039</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300    0.074163378
## Lag 1500   0.003671148
## Lag 3000   0.062899180
## Lag 15000 -0.004451042</code></pre>
<p><img role="img" 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" width="672" /></p>
<pre><code>## , , 1
## 
##                   [,1]
## Lag 0      1.000000000
## Lag 300   -0.016135042
## Lag 1500  -0.006994484
## Lag 3000   0.006499486
## Lag 15000  0.004807959</code></pre>
<pre class="r"><code># Create Table 1

trade_off_table = matrix(NA, nrow = 6, ncol = 6)

trade_off_table[1,] = c(&quot;&quot;, &quot;Sperm offence ability (P2)&quot;, &quot;Latency to first mating&quot;, &quot;Latency to mating with mated females&quot;, &quot;Fecundity of mates (Male biased)&quot;, &quot;Fecundity of mates (Female biased)&quot;)

trade_off_table[2, ] = c(&quot;Sperm defence ability (P1)&quot;, 
                         paste(round(mean(cor_p1_p2), 4),  &quot; [&quot;, round(HPDinterval(cor_p1_p2)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p1_p2)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_p1_ml), 4),  &quot; [&quot;, round(HPDinterval(cor_p1_ml)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p1_ml)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_p1_rml), 4),  &quot; [&quot;, round(HPDinterval(cor_p1_rml)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p1_rml)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_p1_matefec_mb), 4),  &quot; [&quot;, round(HPDinterval(cor_p1_matefec_mb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p1_matefec_mb)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_p1_matefec_fb), 4),  &quot; [&quot;, round(HPDinterval(cor_p1_matefec_fb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p1_matefec_fb)[2], 4), &quot;]&quot;, sep=&quot;&quot;))

trade_off_table[3, ] = c(&quot;Sperm offence ability (P2)&quot;, 
                         &quot;&quot;,
                         paste(round(mean(cor_p2_ml), 4),  &quot; [&quot;, round(HPDinterval(cor_p2_ml)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p2_ml)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_p2_rml), 4),  &quot; [&quot;, round(HPDinterval(cor_p2_rml)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p2_rml)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_p2_matefec_mb), 4),  &quot; [&quot;, round(HPDinterval(cor_p2_matefec_mb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p2_matefec_mb)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_p2_matefec_fb), 4),  &quot; [&quot;, round(HPDinterval(cor_p2_matefec_fb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_p2_matefec_fb)[2], 4), &quot;]&quot;, sep=&quot;&quot;))

trade_off_table[4, ] = c(&quot;Latency to first mating&quot;, 
                         &quot;&quot;,
                         &quot;&quot;,
                         paste(round(mean(cor_ml_rml), 4),  &quot; [&quot;, round(HPDinterval(cor_ml_rml)[1], 4), &quot;,&quot;, round(HPDinterval(cor_ml_rml)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_ml_matefec_mb), 4),  &quot; [&quot;, round(HPDinterval(cor_ml_matefec_mb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_ml_matefec_mb)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_ml_matefec_fb), 4),  &quot; [&quot;, round(HPDinterval(cor_ml_matefec_fb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_ml_matefec_fb)[2], 4), &quot;]&quot;, sep=&quot;&quot;))


trade_off_table[5, ] = c(&quot;Latency to mating with mated females&quot;, 
                         &quot;&quot;,
                         &quot;&quot;,
                         &quot;&quot;,
                         paste(round(mean(cor_rml_matefec_mb), 4),  &quot; [&quot;, round(HPDinterval(cor_rml_matefec_mb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_rml_matefec_mb)[2], 4), &quot;]&quot;, sep=&quot;&quot;),
                         paste(round(mean(cor_rml_matefec_fb), 4),  &quot; [&quot;, round(HPDinterval(cor_rml_matefec_fb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_rml_matefec_fb)[2], 4), &quot;]&quot;, sep=&quot;&quot;))


trade_off_table[6, ] = c(&quot;Fecundity of mates (Male biased)&quot;, 
                         &quot;&quot;,
                         &quot;&quot;,
                         &quot;&quot;,
                         &quot;&quot;,
                         paste(round(mean(cor_matefec_mb_matefec_fb), 4),  &quot; [&quot;, round(HPDinterval(cor_matefec_mb_matefec_fb)[1], 4), &quot;,&quot;, round(HPDinterval(cor_matefec_mb_matefec_fb)[2], 4), &quot;]&quot;, sep=&quot;&quot;))

# save file

write.csv(noquote(trade_off_table), file = &quot;Output/trade_off_output.csv&quot;, row.names = FALSE, col.names = FALSE)</code></pre>
<pre><code>## Warning in write.csv(noquote(trade_off_table), file =
## &quot;Output/trade_off_output.csv&quot;, : attempt to set &#39;col.names&#39; ignored</code></pre>
<pre class="r"><code>print(data.frame(trade_off_table))</code></pre>
<pre><code>##                                     X1                         X2
## 1                                      Sperm offence ability (P2)
## 2           Sperm defence ability (P1)     0.8584 [0.6407,0.9996]
## 3           Sperm offence ability (P2)                           
## 4              Latency to first mating                           
## 5 Latency to mating with mated females                           
## 6     Fecundity of mates (Male biased)                           
##                          X3                                   X4
## 1   Latency to first mating Latency to mating with mated females
## 2  -0.4666 [-0.813,-0.0488]            -0.6394 [-0.9258,-0.3043]
## 3 -0.6203 [-0.8747,-0.2913]             -0.7098 [-0.9346,-0.417]
## 4                                         0.8041 [0.5758,0.9918]
## 5                                                               
## 6                                                               
##                                 X5                                 X6
## 1 Fecundity of mates (Male biased) Fecundity of mates (Female biased)
## 2         -0.5386 [-0.9983,0.0242]             0.429 [-0.0618,0.8872]
## 3        -0.6352 [-0.9953,-0.1543]             0.4945 [0.0522,0.9326]
## 4           0.7702 [0.3899,0.9988]               -0.7199 [-1,-0.3764]
## 5           0.8186 [0.4614,0.9999]               -0.8505 [-1,-0.6058]
## 6                                            -0.7543 [-0.9999,-0.308]</code></pre>
</div>
<div id="analysing-female-fecundity-table-s5" class="section level1">
<h1>Analysing female fecundity (Table S5)</h1>
<p>Here we investigate the effect of sex ratio on the fecundity of
females from the LH population.</p>
<pre class="r"><code>d_fec = d[d$Trait==&quot;Mate_fecundity_Male_biased&quot;|d$Trait==&quot;Mate_fecundity_Female_biased&quot;,]
d_fec$Sex.Ratio = ifelse(d_fec$Trait==&quot;Mate_fecundity_Male_biased&quot;, &quot;Male biased&quot;, &quot;Female biased&quot;)

fit_fec = lmer(Measurement ~ Sex.Ratio + (1|Family:Sex.Ratio) + (1|Replicate), d_fec)
summary(fit_fec)</code></pre>
<pre><code>## Linear mixed model fit by REML. t-tests use Satterthwaite&#39;s method [
## lmerModLmerTest]
## Formula: Measurement ~ Sex.Ratio + (1 | Family:Sex.Ratio) + (1 | Replicate)
##    Data: d_fec
## 
## REML criterion at convergence: 1595.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.6883 -0.5576  0.0350  0.6339  1.9595 
## 
## Random effects:
##  Groups           Name        Variance Std.Dev.
##  Family:Sex.Ratio (Intercept) 18.08    4.253   
##  Replicate        (Intercept) 39.51    6.286   
##  Residual                     96.97    9.847   
## Number of obs: 211, groups:  Family:Sex.Ratio, 74; Replicate, 3
## 
## Fixed effects:
##                      Estimate Std. Error     df t value Pr(&gt;|t|)    
## (Intercept)            59.512      3.819  2.283  15.584  0.00229 ** 
## Sex.RatioMale biased   -7.904      1.683 64.841  -4.696 1.42e-05 ***
## ---
## Signif. codes:  0 &#39;***&#39; 0.001 &#39;**&#39; 0.01 &#39;*&#39; 0.05 &#39;.&#39; 0.1 &#39; &#39; 1
## 
## Correlation of Fixed Effects:
##             (Intr)
## Sex.RtMlbsd -0.220</code></pre>
<pre class="r"><code>#################
### Figure S3 ###
#################

p_fec = ggplot(d_fec, aes(y = Measurement, x = Sex.Ratio))
p_fec = p_fec + theme_bw() + geom_boxplot() + theme(text = element_text(size = 15)) + labs(x = &quot;Sex ratio&quot;, y = &quot;Fecundity of LH females&quot;)
p_fec</code></pre>
<p><img role="img" src="data:image/png;base64,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" width="672" /></p>
<pre class="r"><code>ggsave(p_fec, 
       height = 6.5,
       width = 6.5,
       file = &quot;Output/Figure_S3.jpg&quot;)</code></pre>
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